Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison
Differential Geometry
2026-02-02 v2 Analysis of PDEs
Abstract
We prove a linear upper bound on the Morse index of closed constant mean curvature (CMC) surfaces in orientable three-manifolds in terms of genus, number of branch points and a Willmore-type energy.
Keywords
Cite
@article{arxiv.2411.02932,
title = {Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison},
author = {Luca Seemungal and Ben Sharp},
journal= {arXiv preprint arXiv:2411.02932},
year = {2026}
}
Comments
19 pages. Final version with minor amendments and additions