3 papers
math.MG2026
Barycentric Cuts at Maximal Depth and a Five-Cut Theorem
Xiaoxiang Jiao, Hangyue Zhu
We determine the sharp number and the complete finite spectrum of barycentric hyperplanes through the Tukey median. We further prove that every convex body in , $n\ge3…
math.DG2026
Local Variational Properties of Non-degenerate Free Boundary Minimal Hypersurfaces
Xiaoxiang Jiao, Hangyue Zhu, Qinhan Zhao
We establish local variational characterizations of non-degenerate free-boundary minimal hypersurfaces in compact Riemannian manifolds with boundary. For a two-sided strictly stabl…
math.DG2026
Existence of multiple constant mean curvature hypersurfaces for varying Riemannian metrics
Xiaoxiang Jiao, Wenduo Zou
Given a closed Riemannian manifold ,.In this paper,we will prove that for any ,suppose the number of closed hypersurfaces is finite,then t…