#convex hypersurfaces
topicconvex hypersurfaces
2 papers · 1 filter
math.DG2026
Contraction Maps Generated by Inverse Mean Curvature Flow
Bang-Xian Han, Zhuo-Nan Zhu
The paper constructs area‑preserving Lipschitz contraction maps using inverse mean curvature flow, providing contractions from spheres to convex hypersurfaces and from disks to con…
math.DG2026
Free boundary flows by powers of the Gauss curvature in the unit ball
Tianci Luo, Yong Wei, Rong Zhou
The paper analyzes how smooth, strictly convex hypersurfaces inside the unit ball that meet the boundary orthogonally evolve under a power of the Gauss curvature, showing they stay…