2 papers
math.DG2026
Index Estimates for CMC and Minimal Surfaces with Capillary Boundary
Luca Seemungal
We prove that the index of a CMC surface with capillary boundary is bounded from above linearly by its genus, number of boundary components, and branching order, and also by some W…
math.DG2024
Index estimates for constant mean curvature surfaces in three-manifolds by energy comparison
Luca Seemungal, Ben Sharp
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 Wil…