English

Morse inequalities for manifolds with boundary

Differential Geometry 2008-10-07 v2 Analysis of PDEs

Abstract

The aim of this paper is to provide a proof for a version of Morse inequality for manifolds with boundary. Our main results are certainly known to the experts on Morse theory, nevertheless it seems necessary to write down a complete proof for it. Our proof is analytic and is based on J. Roe's account of Witten's approach to Morse Theory.

Keywords

Cite

@article{arxiv.0807.5122,
  title  = {Morse inequalities for manifolds with boundary},
  author = {Mostafa Esfahani Zadeh},
  journal= {arXiv preprint arXiv:0807.5122},
  year   = {2008}
}

Comments

A comment is added at the end of the Introduction.

R2 v1 2026-06-21T11:06:26.881Z