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math.DG2024
Alexandrov-Fenchel inequalities for capillary hypersurfaces in hyperbolic space
Xinqun Mei, Liangjun Weng
In this article, we first introduce the quermassintegrals for compact hypersurfaces with capillary boundaries in hyperbolic space from a variational viewpoint, and then we solve an…
math.DG2024★ 1 cited
Hypersurfaces with capillary boundary evolving by volume preserving power mean curvature flow
Carlo Sinestrari, Liangjun Weng
In this paper, we introduce a volume- or area-preserving curvature flow for hypersurfaces with capillary boundary in the half-space, with speed given by a positive power of the mea…