Morse Index Bound for Minimal Two Spheres
Differential Geometry
2020-02-26 v1
Abstract
Given a closed manifold of dimension at least three, with non trivial homotopy group \pi_3(M) and a generic metric, we prove that there is a finite collection of harmonic spheres with Morse index bound one, with sum of their energies realizes a geometric invariant width.
Cite
@article{arxiv.2002.10603,
title = {Morse Index Bound for Minimal Two Spheres},
author = {Yuchin Sun},
journal= {arXiv preprint arXiv:2002.10603},
year = {2020}
}
Comments
40 pages