First integrals for Finsler metrics with vanishing \(\chi\)-curvature
DOI10.1007/S10455-022-09872-YzbMath1505.53082arXiv2204.05678OpenAlexW4294311167WikidataQ114227700 ScholiaQ114227700MaRDI QIDQ2084900
Georgeta Creţu, Oana Constantinescu, Ioan Bucataru
Publication date: 13 October 2022
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.05678
Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Differential invariants (local theory), geometric objects (53A55)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Generalized Helmholtz conditions for non-conservative Lagrangian systems
- Trajectory equivalence and corresponding integrals
- Projectively equivalent metrics, exact transverse line fields and the geodesic flow on the ellipsoid
- A class of Finsler metrics admitting first integrals
- Semi-basic 1-forms and Helmholtz conditions for the inverse problem of the calculus of variations
- A recursive scheme of first integrals of the geodesic flow of a Finsler manifold
- Structure presque tangente et connexions. I
- Über die Finsler-Räume mit \(A_i=0\)
- A first integral for 𝐶^{∞}, k-basic Finsler surfaces and applications to rigidity
- Ricci Curvature Tensor and Non-Riemannian Quantities
- Sprays of isotropic curvature
- On Some Non-Riemannian Quantities in Finsler Geometry
- Connections, Sprays and Finsler Structures
- Invariant volume forms and first integrals for geodesically equivalent Finsler metrics
- On sprays with vanishing χ-curvature
- A general version of Beltrami's theorem in Finslerian setting
This page was built for publication: First integrals for Finsler metrics with vanishing \(\chi\)-curvature