Existence of minimal surfaces of arbitrary large Morse index
Differential Geometry
2016-05-25 v2
Abstract
We show that in a closed 3-manifold with a generic metric of positive Ricci curvature, there are minimal surfaces of arbitrary large Morse index, which partially confirms a conjecture by F. Marques and A. Neves. We prove this by analyzing the lamination structure of the limit of minimal surfaces with bounded Morse index.
Cite
@article{arxiv.1504.00970,
title = {Existence of minimal surfaces of arbitrary large Morse index},
author = {Haozhao Li and Xin Zhou},
journal= {arXiv preprint arXiv:1504.00970},
year = {2016}
}
Comments
One figure, final version