The Morse index theorem in the case of two variable endpoints in conic Finsler manifolds
Differential Geometry
2023-08-01 v3
Abstract
In this note, we prove the Morse index theorem for a geodesic connecting two submanifolds in a manifold with a (conic) pseudo-Finsler metric provided that the fundamental tensor is positive definite along velocity curve of the geodesic.
Keywords
Cite
@article{arxiv.2302.00611,
title = {The Morse index theorem in the case of two variable endpoints in conic Finsler manifolds},
author = {Guangcun Lu},
journal= {arXiv preprint arXiv:2302.00611},
year = {2023}
}
Comments
v3: 28 pages, title and content have changes, to appear in Annali di Matematica Pura ed Applicata (1923-)