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Professor Geoff Prince Emeritus Professor, Emeritus
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Professor Geoff Prince Emeritus Professor, Emeritus
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
- Emeritus , Human Resources
- Director, Australian Mathematical Sciences Institute 2009 -
- Emeritus Professor, (La Trobe University) 2017 -
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
- View All
Overview
Publications
selected publications
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academic article
- Sarlet WMestdag TPrince GE. A generalization of Szebehely's inverse problem of dynamics in dimension three. Reports on Mathematical Physics. 79:367-389. 2017
- Do TPrince G. An intrinsic and exterior form of the Bianchi identities. International Journal of Geometric Methods in Modern Physics. 14:1-22. 2017
- Rossi OSaunders DJPrince GE. Shape maps for second order partial differential equations. Journal de Mathematiques Pures et Appliquees. 107:615-637. 2017
- Do TThoan DPrince G. New progress in the inverse problem in the calculus of variations. Differential Geometry and Its Applications. 45:148-179. 2016
- Saunders DJRossi OPrince GE. Tangent bundle geometry induced by second order partial differential equations. Journal de Mathematiques Pures et Appliquees. 106:296-318. 2016
- Prince G. Torsion and the second fundamental form for distributions. Communications in Mathematics. 24:23-28. 2016
- Prince GTehseen N. Evolution equations: Frobenius integrability, conservation laws and travelling waves. Journal of Physics A: Mathematical and Theoretical. 48. 2015
- Sarlet WMestdag TPrince G. A Generalization of Szebehely's Inverse Problem of Dynamics. Reports on Mathematical Physics. 72:65-84. 2013
- Tehseen NPrince G. Integration of PDEs by differential geometric means. Journal of Physics A: Mathematical and Theoretical. 46:105201-105201. 2013
- 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
- Sarlet WPrince G. Alternative kinetic energy metrics for Lagrangian systems. Journal of Physics A: Mathematical and Theoretical. 43:445204-445204. 2010
- 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
- Prince GEDubois SP. Mathematical models for motion of the rear ends of vehicles. Mathematical and Computer Modelling. 49:2049-2060. 2009
- Rossi OKrupka DKrupková OPrince GSarlet W. Contact symmetries of the Helmholtz form. Differential Geometry and Its Applications. 25:518-542. 2007
- Rossi OKrupkova OPrince G. Lepage forms, closed two-forms and second order ordinary differential equations. Russian Mathematics. 51:1-16. 2007
- 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
- Jerie MPrince GE. Jacobi fields and linear connections for arbitrary second-order ODEs. Journal of Geometry and Physics. 43:351-370. 2002
- 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
- Barco MAPrince GE. New symmetry solution techniques for first-order non-linear PDEs. Applied Mathematics and Computation. 124:169-196. 2001
- Barco MAPrince GE. Solvable symmetry structures in differential form applications. Acta Applicandae Mathematicae. 66:89-121. 2001
- Thompson GPrince G. The Inverse Problem for Flat Kinetic Minus Potential Lagrangians. Extracta Mathematicae. 16:241-248. 2001
- Prince GE. Quadratic forms associated with planar endomorphisms. Bulletin of the Australian Mathematical Society. 62:459-459. 2000
- Jerie MPrince GE. A general Raychaudhuri’s equation for second-order differential equations. Journal of Geometry and Physics. 34:226-241. 2000
- Prince GE. Reply to: `Some remarks on the symmetries of the Kerr spacetime'. Classical and Quantum Gravity. 17:2027-2028. 2000
- Prince GE. Some remarks on the symmetries of the Kerr spacetime - Reply. Classical and Quantum Gravity. 17:2027-2028. 2000
- 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. 41:248-248. 1999
- Jerie MO'Connor JERPrince GE. Spacetime symmetries for the Kerr metric. Classical and Quantum Gravity. 16:2885-2887. 1999
- Prince GEAldridge JEByrnes GB. A universal Hamilton-Jacobi equation for second-order ODEs. Journal of Physics A: Mathematical and Theoretical. 32:827-844. 1999
- Crampin MPrince GESarlet WThompson G. The Inverse Problem of the Calculus of Variations: Separable Systems. Acta Applicandae Mathematicae. 57:239-254. 1999
- Jerie MO'Connor JERPrince GE. Computer algebra determination of symmetries in general relativity. Computer Physics Communications. 115:363-380. 1998
- Aldridge JEPrince GE. Computer algebra solution of the inverse problem in the calculus of variations. Computer Physics Communications. 115:489-509. 1998
- O'Connor JERPrince GE. Finding Collineations of Kimura Metrics. General Relativity and Gravitation. 30:69-82. 1998
- Sheering JHead AKPrince GE. Dimsym and LIE: Symmetry determination packages. Mathematical and Computer Modelling. 25:153-164. 1997
- Prince GEByrnes GBSherring JGodfrey SE. A generalization of the Liouville–Arnol'd theorem. Cambridge Philosophical Society: Mathematical Proceedings. 117:353-353. 1995
- 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
- Sherring JPrince G. Geometric aspects of reduction of order. Transactions of the American Mathematical Society. 334:433-453. 1992
- Godfrey SEPrince GE. A canonical reduction of order for the Kepler problem. Journal of Physics A: Mathematical and Theoretical. 24:5465-5475. 1991
- Sarlet WPrince GECrampin M. Adjoint symmetries for time-dependent second-order equations. Journal of Physics A: Mathematical and Theoretical. 23:1335-1347. 1990
- Crampin MPrince GE. Alternative Lagrangians for spherically symmetric potentials. Journal of Mathematical Physics. 29:1551-1554. 1988
- Prince G. A complete classification of dynamical symmetries in classical mechanics. Bulletin of the Australian Mathematical Society. 32:299-299. 1985
- Crampin MPrince GE. Generalising gauge variance for spherically symmetric potentials. Journal of Physics A: Mathematical and Theoretical. 18:2167-2175. 1985
- Crampin MPrince GE. Equivalent Lagrangians and dynamical symmetries: Some comments. Physics Letters Section A: General, Atomic and Solid State Physics. 108:191-194. 1985
- Prince GECrampin M. Projective differential geometry and geodesic conservation laws in general relativity, II: Conservation laws. General Relativity and Gravitation. 16:1063-1075. 1984
- Prince GECrampin M. Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions. General Relativity and Gravitation. 16:921-942. 1984
- Crampin MPrince GE. The geodesic spray, the vertical projection, and Raychaudhuri's equation. General Relativity and Gravitation. 16:675-689. 1984
- 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
- Prince G. Homothetic killing tensors. Physics Letters Section A: General, Atomic and Solid State Physics. 97:133-136. 1983
- 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
- Prince G. Toward a classification of dynamical symmetries in classical mechanics. Bulletin of the Australian Mathematical Society. 27:53-53. 1983
- Prince GEEliezer CJ. On the Lie symmetries of the classical Kepler problem. Journal of Physics A: Mathematical and Theoretical. 14:587-596. 1981
- Prince GEEliezer CJ. Symmetries of the time-dependent N-dimensional oscillator. Journal of Physics A: Mathematical and Theoretical. 13:815-823. 1980
- PRINCE GELEACH PGL. THE LIE THEORY OF EXTENDED GROUPS IN HAMILTONIAN-MECHANICS. Hadronic Journal. 3:941-961. 1980
- PRINCE GELEACH PGLKALOTAS TMELIEZER CJSANTILLI RM. LIE AND LIE-ADMISSIBLE SYMMETRIES OF DYNAMICAL-SYSTEMS. Hadronic Journal. 3:390-439. 1979
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chapter
- Prince G. On the inverse problem of autoparallels. 341-351. 2009
- Rossi OKrupková OPrince GE. Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations. 837-904. 2008
- Prince GKing D. The inverse problem in the calculus of variations : nonexistence of Lagrangians. 131-140. 2007
- Prince G. A note on integrability and closure conditions in the inverse problem in the calculus of variations.. 115-126. 2003
- Prince G. The inverse problem in the calculus of variations and its ramifications. 171-200. 2000
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conference paper
- 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
- Prince GJerie M. Generalising Raychaudhuri's equation.. 235-242. 2002
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report
- Jerie MPrince GE. Jacobi fields and linear connections for arbitrary second-order ODEs. Journal of Geometry and Physics. 351-370. 2002
- 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
- Prince GJerie M. Generalising Raychaudhuri's Equation. 1-10. 2001
- Thompson GPrince G. The inverse problem for flat kinetic minus potential Lagrangians 2000
Research
principal investigator on
Background
education and training
- B.Sc, .
- DipEd, .Monash University
- PHD, (La Trobe University)
Contact
full name
- Professor Geoffrey Prince