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math.DG2023★ 5 cited
A Heintze-Karcher type inequality in hyperbolic space
Yingxiang Hu, Yong Wei, Tailong Zhou
In this paper, we prove a new Heintze-Karcher type inequality for shifted mean convex hypersurfaces in hyperbolic space. As applications, we prove an Alexandrov type theorem for cl…
math.DG2023★ 11 cited
Geometric inequalities involving three quantities in warped product manifolds
Kwok-Kun Kwong, Yong Wei
In this paper, we establish two families of sharp geometric inequalities for closed hypersurfaces in space forms or other warped product manifolds. Both families of inequalities co…