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math.DG2022★ 4 cited
On the mean curvature type flow for convex capillary hypersurfaces in the ball
Yingxiang Hu, Yong Wei, Bo Yang +1
In this paper, we study the mean curvature type flow for hypersurfaces in the unit Euclidean ball with capillary boundary, which was introduced by Wang-Xia and Wang-Weng. We show t…
math.DG2022★ 7 cited
Blaschke-Santaló type inequalities and quermassintegral inequalities in space forms
Yingxiang Hu, Haizhong Li
In this paper, we prove a family of identities for closed and strictly convex hypersurfaces in the sphere and hyperbolic/de Sitter space. As applications, we prove Blaschke-Santaló…