https://neckpinch.com/authors/jinyu-guo/New arXiv papers by Jinyu Guo, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2610.30771/arxiv:2610.30771Thu, 22 Oct 2026 00:00:00 GMTJinyu Guo, Liangjun Weng — In this paper, we study the quermassintegral inequalities for capillary hypersurfaces in a horoball in hyperbolic space. We construct a locally constrained nonlinear curvature flow that preserves the k-th quermassintegral while monotonically increasing the l-th quermassintegral for any (1≤ l<k≤ n). Using this flow, we establish a full family of the quermassintegral inequalities for horo-convex capillary hypersurfaces in a horoball with contact angle θ∈(0,π/2]. Moreover, we weaken the horo-convexity to convexity and obtain the quermassintegral inequalities for convex capillary hypersurfaces between the n-th and l-th quermassintegrals.Other curvature flowsVolume-preserving & constrained flowsFree boundary & capillaryGeometric inequalities