convex hypersurfaces 1entropy methods 1free boundary 1gauss curvature flow 1geometric evolution equations 1
From the 1 of 3 linked papers with an AI index.
3 papers
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…
math.DG2026
Contraction of hypersurfaces with positive sectional curvature in hyperbolic space
Tianci Luo, Yong Wei, Rong Zhou
We study contracting curvature flows of compact hypersurfaces with positive sectional curvature in hyperbolic space . The speed is assumed to be homogeneous of de…
math.AP2024
The horospherical -Christoffel-Minkowski problem in hyperbolic space
Tianci Luo, Yong Wei
The horospherical -Christoffel-Minkowski problem was posed by Li and Xu (2022) as a problem prescribing the -th horospherical -surface area measure of -convex domains i…