Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison
arXiv:2411.02932 · doi:10.1016/j.jfa.2026.111375
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.
19 pages. Final version with minor amendments and additions