2 papers
math.DG2026
Singularities and Topological Change for Deforming Domains in Manifolds
Wu-Hsiung Huang
The main purpose of this paper is to investigate when topology jumps while analysis remains continuous. Given a -deformation of domains in a manifold , allowin…
math.DG2025
A global Morse index theorem and applications to Jacobi fields on CMC surfaces
Wu-Hsiung Huang
In this paper, we establish a "global" Morse index theorem. Given a hypersurface of constant mean curvature, immersed in . Consider a continuous deformati…