English

Morse inequalities for the area functional

Differential Geometry 2020-03-04 v1

Abstract

In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies 3(n+1)73 \leq (n + 1) \leq 7, in both the closed and the boundary cases.

Keywords

Cite

@article{arxiv.2003.01301,
  title  = {Morse inequalities for the area functional},
  author = {Fernando C. Marques and Rafael Montezuma and André Neves},
  journal= {arXiv preprint arXiv:2003.01301},
  year   = {2020}
}

Comments

29 pages

R2 v1 2026-06-23T14:01:29.076Z