4 citations · 6 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
The discrete horospherical -Minkowski problem in hyperbolic space
Haizhong Li, Yao Wan, Botong Xu
In \cite{LX}, the first author and the third author introduced and studied the horospherical -Minkowski problem for smooth horospherically convex domains in hyperbolic space. In…
Hyperbolic -sum and Horospherical -Brunn-Minkowski theory in hyperbolic space
Haizhong Li, Botong Xu
The classical Brunn-Minkowski theory studies the geometry of convex bodies in Euclidean space by use of the Minkowski sum. It originated from H. Brunn's thesis in 1887 and H. Minko…
A class of weighted isoperimetric inequalities in hyperbolic space
Haizhong Li, Botong Xu
In this paper, we prove a class of weighted isoperimetric inequalities for bounded domains in hyperbolic space by using the isoperimetric inequality with log-convex density in Eucl…
Lagrangian surfaces in
Dong Gao, Joeri Van der Veken, Anne Wijffels +1
The Riemannian product of two hyperbolic planes of constant Gaussian curvature -1 has a natural Kähler structure. In fact, it can be identified with the complex hyperbolic quadric…
Asymptotic convergence for a class of anisotropic curvature flows
Haizhong Li, Botong Xu, Ruijia Zhang
In this paper, by using new auxiliary functions, we study a class of contracting flows of closed, star-shaped hypersurfaces in with speed $r^{\fracαβ}σ_k^{\frac{…