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math.DG2025
Affine isoperimetric type inequalities for static convex domains in hyperbolic space
Yingxiang Hu, Haizhong Li, Yao Wan +1
In this paper, the notion of hyperbolic ellipsoids in hyperbolic space is introduced. Using a natural orthogonal projection from hyperbolic space to Euclidean space, we establish a…
math.DG2025
New Heintze-Karcher type inequalities in sub-static warped product manifolds
Haizhong Li, Yong Wei, Botong Xu
In this paper, we prove Heintze-Karcher type inequalities involving the shifted mean curvature for smooth bounded domains in certain sub-static warped product manifolds. In particu…
math.DG2025
Standard bubbles (and other Möbius-flat partitions) on model spaces are stable
Emanuel Milman, Botong Xu
We verify that for all and , the standard -bubble clusters, conjectured to be minimizing total perimeter in , and $\ma…