https://neckpinch.com/authors/jie-wu/New arXiv papers by Jie Wu, from Neckpinch Tue, 03 Nov 2026 08:37:45 GMT https://neckpinch.com/papers/2506.22877/arxiv:2506.22877Sat, 28 Jun 2025 00:00:00 GMTJie Wu — In this paper, we establish a broad class of new sharp Alexandrov-Fenchel inequalities involving general convex weight functions for static convex hypersurfaces in hyperbolic space. Additionally, we derive new weighted Minkowski-type inequalities for static convex hypersurfaces in hyperbolic space ℍⁿ and for convex hypersurfaces in the sphere Sⁿ. The tools we shall use are the locally constrained inverse curvature flows in hyperbolic space and in the sphere.Other curvature flowsInverse mean curvature flowVolume-preserving & constrained flowsSphere theoremsGeometric inequalities