6 papers
On the Brunn-Minkowski inequality for -th dual quermassintegrals with
Haizhong Li, Yao Wan, Yijia Zhang
In this paper, we study the Brunn-Minkowski inequality for -th dual quermassintegrals with . This problem was recently posed by Sadovsky and Zhang. First, by a second varia…
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…
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…
The horospherical -Christoffel-Minkowski and prescribed -shifted Weingarten curvature problems in hyperbolic space
Yingxiang Hu, Haizhong Li, Botong Xu
The -Christoffel-Minkowski problem and the prescribed -Weingarten curvature problem for convex hypersurfaces in Euclidean space are important problems in geometric analys…
Weinstock inequality in hyperbolic space
Pingxin Gu, Haizhong Li, Yao Wan
In this paper, we establish the Weinstock inequality for the first non-zero Steklov eigenvalue on star-shaped mean convex domains in hyperbolic space for .…
Classification of solutions to the isotropic horospherical -Minkowski problem in hyperbolic plane
Haizhong Li, Yao Wan
In \cite{LX}, the first author and Xu introduced and studied the horospherical -Minkowski problem in hyperbolic space . In particular, they established the uni…