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20192026
most citedAlexandrov-Fenchel inequalities for convex hypersurfaces in the half-space with capillary boundary

17 citations · 82 across the 19 of their papers we have counts for

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math.DG2026

Quermassintegral inequalities for capillary hypersurfaces in a horoball

Jinyu 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…

math.DG2026

Uniqueness of capillary Gauss solitons

Xinqun Mei, Guofang Wang, Liangjun Weng

We prove the rigidity conjecture of [16, Conjecture 1.2] for smooth strictly convex capillary Gauss solitons in a Euclidean half-space with an acute contact angle: every such solit…