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Professor Geoff Prince Emeritus Professor, Eng & Math Sci Sch Off
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- +61 4 0754 6336
Professor Geoff Prince Emeritus Professor, Eng & Math Sci Sch Off
My research is carried out at La Trobe University in a group with Prof. Philip Broadbridge and a number of early career researchers. My international collaborators are Willy Sarlet & Tom Mestdag (Ghent, Belgium) and Olga Rossi (prev. Krupkova) & David Saunders (Ostrava, Czech Rep.).
Research interests include:
- Applications of differential geometry to ordinary and partial differential equations
- Inverse problem in the calculus of variations
-Classical mechanics
-Riemannian geometry
Research interests include:
- Applications of differential geometry to ordinary and partial differential equations
- Inverse problem in the calculus of variations
-Classical mechanics
-Riemannian geometry
Positions
- Engineering and Mathematics Science School , School of Engineering and Mathematical Sciences
- Emeritus Professor, (La Trobe University) 2017 -
- Director, Australian Mathematical Sciences Institute 2009 - 2018
Research Areas
- Access grid rooms (Expertise)
- Australian mathematics (Expertise)
- Differential geometry (Expertise)
- Mathematics (Expertise)
- Mathematics teacher short (Expertise)
- Tertiary mathematics education (Expertise)
- eResearch (Expertise)
- Overview
- Publications
- Research
- Background
- Contact
- Identity
- View All
Overview
Publications
selected publications
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academic article
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Sarlet WMestdag TPrince GE. A generalization of Szebehely's inverse problem of dynamics in dimension three.
Reports on Mathematical Physics.
79:367-389.
2017
Full text if available -
Do TPrince G. An intrinsic and exterior form of the Bianchi identities.
International Journal of Geometric Methods in Modern Physics.
14:1-22.
2017
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Rossi OSaunders DJPrince GE. Shape maps for second order partial differential equations.
Journal de Mathematiques Pures et Appliquees.
107:615-637.
2017
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Do TThoan DPrince G. New progress in the inverse problem in the calculus of variations.
Differential Geometry and Its Applications.
45:148-179.
2016
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Saunders DJRossi OPrince GE. Tangent bundle geometry induced by second order partial differential equations.
Journal de Mathematiques Pures et Appliquees.
106:296-318.
2016
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Prince G. Torsion and the second fundamental form for distributions.
Communications in Mathematics.
24:23-28.
2016
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Prince GTehseen N. Evolution equations: Frobenius integrability, conservation laws and travelling waves.
Journal of Physics A: Mathematical and Theoretical.
48.
2015
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Sarlet WMestdag TPrince G. A Generalization of Szebehely's Inverse Problem of Dynamics.
Reports on Mathematical Physics.
72:65-84.
2013
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Tehseen NPrince G. Integration of PDEs by differential geometric means.
Journal of Physics A: Mathematical and Theoretical.
46:105201-105201.
2013
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Rossi OSarlet WPrince GMestdag TKrupková O. Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type.
Journal of Physics A: Mathematical and Theoretical.
45:085208-085208.
2012
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Sarlet WPrince G. Alternative kinetic energy metrics for Lagrangian systems.
Journal of Physics A: Mathematical and Theoretical.
43:445204-445204.
2010
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Crampin MPrince GSarlet W. Generalized submersiveness of second-order ordinary differential equations.
Journal of Geometric Mechanics.
1:209-221.
2009
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Prince GE. Comment on “Period function and normalizers of vector fields in Rn with n−1 first integrals” by D. Peralta-Salas [J. Differential Equations 244 (6) (2008) 1287–1303].
Journal of Differential Equations.
246:3750-3753.
2009
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Prince GEDubois SP. Mathematical models for motion of the rear ends of vehicles.
Mathematical and Computer Modelling.
49:2049-2060.
2009
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Rossi OKrupková OPrince GE. Lepage forms, closed 2-forms and second-order ordinary differential equations.
Russian Mathematics.
51:1-16.
2007
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Rossi OKrupka DKrupková OPrince GSarlet W. Contact symmetries of the Helmholtz form.
Differential Geometry and Its Applications.
25:518-542.
2007
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Aldridge JEPrince GESarlet WThompson G. An EDS approach to the inverse problem in the calculus of variations.
Journal of Mathematical Physics.
47:103508-103508.
2006
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Jerie MPrince GE. Jacobi fields and linear connections for arbitrary second-order ODEs.
Journal of Geometry and Physics.
43:351-370.
2002
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Sarlet WThompson GPrince G. The inverse problem in the calculus of variations : the use of geometrical calculus in Douglas' analysis.
Transactions of the American Mathematical Society.
354:2897-2919.
2002
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Barco MAPrince GE. New symmetry solution techniques for first-order non-linear PDEs.
Applied Mathematics and Computation.
124:169-196.
2001
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Barco MAPrince GE. Solvable symmetry structures in differential form applications.
Acta Applicandae Mathematicae.
66:89-121.
2001
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Thompson GPrince G. The Inverse Problem for Flat Kinetic Minus Potential Lagrangians.
Extracta Mathematicae.
16:241-248.
2001
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Prince GE. Quadratic forms associated with planar endomorphisms.
Bulletin of the Australian Mathematical Society.
62:459-465.
2000
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Jerie MPrince GE. A general Raychaudhuri’s equation for second-order differential equations.
Journal of Geometry and Physics.
34:226-241.
2000
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Prince GE. Reply to: `Some remarks on the symmetries of the Kerr spacetime'.
Classical and Quantum Gravity.
17:2027-2028.
2000
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Prince GE. Some remarks on the symmetries of the Kerr spacetime - Reply.
Classical and Quantum Gravity.
17:2027-2028.
2000
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Prince GEAldridge JEGodfrey SEByrnes GB. The separation of the Hamilton-Jacobi equation for the Kerr metric.
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal.
41:248-259.
1999
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Jerie MO'Connor JERPrince GE. Spacetime symmetries for the Kerr metric.
Classical and Quantum Gravity.
16:2885-2887.
1999
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Prince GEAldridge JEByrnes GB. A universal Hamilton-Jacobi equation for second-order ODEs.
Journal of Physics A: Mathematical and Theoretical.
32:827-844.
1999
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Crampin MPrince GESarlet WThompson G. The Inverse Problem of the Calculus of Variations: Separable Systems.
Acta Applicandae Mathematicae.
57:239-254.
1999
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Jerie MO'Connor JERPrince GE. Computer algebra determination of symmetries in general relativity.
Computer Physics Communications.
115:363-380.
1998
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Aldridge JEPrince GE. Computer algebra solution of the inverse problem in the calculus of variations.
Computer Physics Communications.
115:489-509.
1998
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O'Connor JERPrince GE. Finding Collineations of Kimura Metrics.
General Relativity and Gravitation.
30:69-82.
1998
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Sheering JHead AKPrince GE. Dimsym and LIE: Symmetry determination packages.
Mathematical and Computer Modelling.
25:153-164.
1997
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Prince GEByrnes GBSherring JGodfrey SE. A generalization of the Liouville–Arnol'd theorem.
Cambridge Philosophical Society: Mathematical Proceedings.
117:353-370.
1995
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Crampin MSarlet WMartinez EByrnes GBPrince GE. Towards a geometrical understanding of Douglas's solution of the inverse problem of the calculus of variations.
Inverse Problems.
10:245-260.
1994
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Sherring JPrince G. Geometric aspects of reduction of order.
Transactions of the American Mathematical Society.
334:433-453.
1992
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Godfrey SEPrince GE. A canonical reduction of order for the Kepler problem.
Journal of Physics A: Mathematical and Theoretical.
24:5465-5475.
1991
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Sarlet WPrince GECrampin M. Adjoint symmetries for time-dependent second-order equations.
Journal of Physics A: Mathematical and Theoretical.
23:1335-1347.
1990
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Crampin MPrince GE. Alternative Lagrangians for spherically symmetric potentials.
Journal of Mathematical Physics.
29:1551-1554.
1988
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Prince G. A complete classification of dynamical symmetries in classical mechanics.
Bulletin of the Australian Mathematical Society.
32:299-308.
1985
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Crampin MPrince GE. Generalising gauge variance for spherically symmetric potentials.
Journal of Physics A: Mathematical and Theoretical.
18:2167-2175.
1985
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Crampin MPrince GE. Equivalent Lagrangians and dynamical symmetries: Some comments.
Physics Letters Section A: General, Atomic and Solid State Physics.
108:191-194.
1985
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Prince GECrampin M. Projective differential geometry and geodesic conservation laws in general relativity, II: Conservation laws.
General Relativity and Gravitation.
16:1063-1075.
1984
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Prince GECrampin M. Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions.
General Relativity and Gravitation.
16:921-942.
1984
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Crampin MPrince GE. The geodesic spray, the vertical projection, and Raychaudhuri's equation.
General Relativity and Gravitation.
16:675-689.
1984
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Crampin MPrince GEThompson G. A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics.
Journal of Physics A: Mathematical and Theoretical.
17:1437-1447.
1984
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Prince G. Homothetic killing tensors.
Physics Letters Section A: General, Atomic and Solid State Physics.
97:133-136.
1983
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Prince G. Reflections on the symmetry-conservation law duality and the Runge-Lenz vector.
Journal of Physics A: Mathematical and Theoretical.
16:L105-L108.
1983
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Prince G. Toward a classification of dynamical symmetries in classical mechanics.
Bulletin of the Australian Mathematical Society.
27:53-71.
1983
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Prince GEEliezer CJ. On the Lie symmetries of the classical Kepler problem.
Journal of Physics A: Mathematical and Theoretical.
14:587-596.
1981
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Prince GEEliezer CJ. Symmetries of the time-dependent N-dimensional oscillator.
Journal of Physics A: Mathematical and Theoretical.
13:815-823.
1980
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PRINCE GELEACH PGL. THE LIE THEORY OF EXTENDED GROUPS IN HAMILTONIAN-MECHANICS.
Hadronic Journal.
3:941-961.
1980
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PRINCE GELEACH PGLKALOTAS TMELIEZER CJSANTILLI RM. LIE AND LIE-ADMISSIBLE SYMMETRIES OF DYNAMICAL-SYSTEMS.
Hadronic Journal.
3:390-439.
1979
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PRINCE GE. Some syndromes produced by the toxin of insects..
North Carolina Medical Journal.
22:500-503.
1961
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PRINCE GEORGEE. Chiggers and Children.
A.M.A. journal of diseases of children.
99:735-735.
1960
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Prince GE. Arachnidism in children.
Journal of Pediatrics.
49:101-108.
1956
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Prince GE. Erythroderma desquamativa of the newborn infant.
Journal of Pediatrics.
47:475-480.
1955
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PRINCE GE. The diagnosis of mumps meningoencephalitis.
North Carolina Medical Journal.
12:495-499.
1951
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Prince GE. The use of transparent tape in the treatment of umbilical hernia in infants.
Journal of Pediatrics.
39:481-482.
1951
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Prince GEBruce JW. Mortality of acute infantile diarrhea at the Louisville General Hospital from 1943 to 1947.
Journal of Pediatrics.
33:342-345.
1948
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PRINCE GETEMPLE WJ. Penicillin in treatment of empyema in children.
A.M.A. American Journal of Diseases of Children.
74:447-455.
1947
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Prince GE. Cephalin-cholesterol flocculation in premature infants and children receiving immune globulin.
Journal of Pediatrics.
30:668-671.
1947
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PRINCE GEORGEE. AURICULAR FLUTTER AND CONGENITAL HEART DISEASE.
A.M.A. American Journal of Diseases of Children.
72:552-552.
1946
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Scott EPPrince GERotondo CC. Dye poisoning in infancy.
Journal of Pediatrics.
28:713-718.
1946
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Prince GEKeeley JCScott EP. Tick paralysis in children.
Journal of Pediatrics.
28:597-601.
1946
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Heckman JHZuckerman HGMetzger CHBrown BABennett ERWard WBFitch CLElmer OHGardner JSMiller JCHussey FWNewdick ELDonaldson RWHarris LWerner HOMartin WHHardenburg EVOdland TESchmidt RPrince GEDrain BDBailey HLRalston GSGaines CDMilward JGTucker J. Sectional notes.
American Journal of Potato Research.
12:158-170.
1935
Full text if available
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Sarlet WMestdag TPrince GE. A generalization of Szebehely's inverse problem of dynamics in dimension three.
Reports on Mathematical Physics.
79:367-389.
2017
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chapter
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Prince G. On the inverse problem of autoparallels.
341-351.
2009
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Rossi OKrupková OPrince GE. Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations.
837-904.
2008
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Prince GKing D. The inverse problem in the calculus of variations : nonexistence of Lagrangians.
131-140.
2007
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Prince G. A note on integrability and closure conditions in the inverse problem in the calculus of variations..
115-126.
2003
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Prince G. The inverse problem in the calculus of variations and its ramifications.
171-200.
2000
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Prince G. On the inverse problem of autoparallels.
341-351.
2009
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conference paper
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Rossi OKrupka DKrupkova OPrince GSarlet W. Contact symmetries and variational sequences..
Differential Geometry and its Applications : Proceedings, 9th International Conference on Differential Geometry and its Applications.
605-615.
2005
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Prince GJerie M. Generalising Raychaudhuri's equation..
235-242.
2002
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Rossi OKrupka DKrupkova OPrince GSarlet W. Contact symmetries and variational sequences..
Differential Geometry and its Applications : Proceedings, 9th International Conference on Differential Geometry and its Applications.
605-615.
2005
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report
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Jerie MPrince GE. Jacobi fields and linear connections for arbitrary second-order ODEs.
Journal of Geometry and Physics.
351-370.
2002
Full text if available -
Sarlet WThompson GPrince GE. The inverse problem of the calculus of variations: The use of geometrical calculus in douglas's analysis.
Transactions of the American Mathematical Society.
2897-2920.
2002
Full text if available -
Prince GJerie M. Generalising Raychaudhuri's Equation.
1-10.
2001
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Thompson GPrince G. The inverse problem for flat kinetic minus potential Lagrangians
2000
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Jerie MPrince GE. Jacobi fields and linear connections for arbitrary second-order ODEs.
Journal of Geometry and Physics.
351-370.
2002
Research
principal investigator on
Background
education and training
- B.Sc, .
- DipEd, .Monash University
- PHD, (La Trobe University)
Contact
full name
- Professor Geoff Prince
Identity
ORCID iD
- http://orcid.org/0000-0003-4819-2219 (confirmed)