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

2023/02/01 by Guangcun Lu, Lu, Guangcun
Physics and Astronomy · #53C22 #53C50 #53C60 #Advanced Differential Geometry Research #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2302.00611

openalex publication_date 2023/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this note, we prove the Morse index theorem for a geodesic connecting two submanifolds in a C⁷ manifold with a C⁶ (conic) pseudo-Finsler metric provided that the fundamental tensor is positive definite along velocity curve of the geodesic.

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