Morse inequalities for the area functional
Abstract
In this article we prove the strong Morse inequalities for the area functional in codimension one, assuming that the ambient dimension satisfies $3 \leq (n + 1) \leq 7$, in both the closed and the boundary cases.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2020
- DOI:
- 10.48550/arXiv.2003.01301
- arXiv:
- arXiv:2003.01301
- Bibcode:
- 2020arXiv200301301M
- Keywords:
-
- Mathematics - Differential Geometry
- E-Print:
- 29 pages