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arXiv · 2302.00611

The Morse index theorem in the case of two variable endpoints in conic Finsler manifolds

Guangcun Lu
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Abstract

In this note, we prove the Morse index theorem for a geodesic connecting two submanifolds in a $C^7$ manifold with a $C^6$ (conic) pseudo-Finsler metric provided that the fundamental tensor is positive definite along velocity curve of the geodesic.

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Guangcun Lu. 2023-02-01. The Morse index theorem in the case of two variable endpoints in conic Finsler manifolds. https://arxiv.org/abs/2302.00611

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