Revisiting Legendre transformations in Finsler geometry
General Relativity and Quantum Cosmology
2024-03-26 v3 Mathematical Physics
math.MP
Abstract
We discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler geometry (and vice-versa).
Cite
@article{arxiv.2208.11406,
title = {Revisiting Legendre transformations in Finsler geometry},
author = {Ernesto Rodrigues and Iarley P. Lobo},
journal= {arXiv preprint arXiv:2208.11406},
year = {2024}
}
Comments
23+2 pages, 2 figures. Version with examples, improved discussion of the results, inclusion of an appendix, typos fixed. Matches published version. Updated Journal information