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arXiv · 2411.02932

Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison

Luca Seemungal·Ben Sharp
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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.

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Luca Seemungal, Ben Sharp. 2024-11-05. Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison. https://doi.org/10.1016/j.jfa.2026.111375

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