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

Journal of Functional Analysis 2026 Open access

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Authors: Luca Seemungal, Ben H. Sharp
DOI: 10.1016/j.jfa.2026.111375
Cited by: 0
References: 19

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Geometric and Algebraic Topology Advanced Numerical Analysis Techniques

Publication details

Journal / source
Journal of Functional Analysis
Volume
290
Issue
9
Pages
111375–111375
Publication date
22 January 2026
Language
EN