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Professor Geoff Prince Emeritus Professor, Mathematics & Statistics
- Contact Info
- +61 4 0754 6336
Professor Geoff Prince Emeritus Professor, Mathematics & Statistics
I am based at La Trobe University carrying out research with Thoan Do (La Trobe), Willy Sarlet (Ghent) & Tom Mestdag (Antwerp), David Martin de Diego (Madrid), Marta Farre Puigalli (Ann Arbor) and David Saunders (Ostrava). I was a close collaborator with Olga Rossi (formerly Krupkova) who tragically died in late 2019.
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
- Mathematics and Statistics , 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
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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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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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Prince GESarlet WE. Prince GCrampin M. Generalized submersiveness of second-order ordinary differential equations.
Journal of Geometric Mechanics.
1:209-221.
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. 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 GE. PENICILLIN IN TREATMENT OF EMPYEMA IN CHILDREN.
A.M.A. American Journal of Diseases of Children.
74:447-447.
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 GE. AURICULAR FLUTTER AND CONGENITAL HEART DISEASE.
A.M.A. American Journal of Diseases of Children.
72:552-552.
1946
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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Prince GDo T. The inverse problem in the calculus of variations: new developments.
1-18.
2019
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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.
2897-2919.
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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Prince GDo T. The inverse problem in the calculus of variations: new developments.
1-18.
2019
Research
principal investigator on
Background
education and training
- PHD, (La Trobe University) 1978 - 1981
- DipEd, Monash University 1976
- BSc (Hons), Monash University 1972 - 1975
Contact
full name
- Professor Geoff Prince
Identity
ORCID iD
- http://orcid.org/0000-0003-4819-2219 (confirmed)