Revisiting Arnold's topological proof of the Morse index theorem
Differential Geometry
2023-07-04 v1
Abstract
We give an exposition of the Morse Index Theorem in the Riemannian case in terms of the Maslov index, following and expanding upon Arnold's seminal paper. We emphasize the symplectic arguments in the proof and aim to be as self-contained as possible.
Cite
@article{arxiv.2307.00655,
title = {Revisiting Arnold's topological proof of the Morse index theorem},
author = {Eduardo V. Sodré},
journal= {arXiv preprint arXiv:2307.00655},
year = {2023}
}
Comments
17 pages