Tangent bundle geometry induced by second order partial differential equations
DOI10.1016/j.matpur.2016.02.011zbMath1343.58017arXiv1412.2377OpenAlexW2962789381WikidataQ115343541 ScholiaQ115343541MaRDI QIDQ301028
Geoff Prince, Olga Krupková, David J.Saunders
Publication date: 29 June 2016
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.2377
Jets in global analysis (58A20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Systems of nonlinear higher-order PDEs (35G50) Overdetermined problems for partial differential equations and systems of partial differential equations (35N99)
Related Items
Cites Work
- Differential invariants of immersions of manifolds with metric fields.
- A general Raychaudhuri's equation for second-order differential equations
- Complete separability of time-dependent second-order ordinary differential equations
- Dual jet bundles, Hamiltonian systems and connections
- Structure presque tangente et connexions. I
- The inverse problem of the calculus of variations: The use of geometrical calculus in Douglas’s analysis
- Tangent bundle geometry Lagrangian dynamics
- Higher-order differential equations and higher-order lagrangian mechanics
- An alternative approach to the Cartan form in Lagrangian field theories
- Submersive second order ordinary differential equations
- The inverse problem of the calculus of variations for ordinary differential equations
- A new approach to the nonlinear connection associated with second-order (and higher-order) differential equation fields
- Harmonic maps
- Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Tangent bundle geometry induced by second order partial differential equations
