Morse Index Bound for Minimal Torus
Differential Geometry
2021-11-16 v1
Abstract
The min-max construction of minimal spheres using harmonic replacement is introduced by Colding and Minicozzi and generalized by Zhou to conformal harmonic torus. We prove that the Morse index of the min-max conformal harmonic torus is bounded by one.
Cite
@article{arxiv.2111.06922,
title = {Morse Index Bound for Minimal Torus},
author = {Yuchin Sun},
journal= {arXiv preprint arXiv:2111.06922},
year = {2021}
}
Comments
43 pages