69 citations · 419 across the 25 of their papers we have counts for
25 papers
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…
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…
Volume preserving Gauss curvature flow of convex hypersurfaces in the hyperbolic space
Yong Wei, Bo Yang, Tailong Zhou
We consider the volume preserving flow of smooth, closed and convex hypersurfaces in the hyperbolic space with the speed given by arbitrary positive po…
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…
Anisotropic curvature measures and volume preserving flows
Ben Andrews, Yitao Lei, Yong Wei +1
In the first part of this paper, we develop the theory of anisotropic curvature measures for convex bodies in the Euclidean space. It is proved that any convex body whose boundary…
A fully nonlinear locally constrained anisotropic curvature flow
Yong Wei, Changwei Xiong
Given a smooth positive function such that the square of its positive -homogeneous extension on is uniformly co…
On an inverse curvature flow in two-dimensional space forms
Kwok-Kun Kwong, Yong Wei, Glen Wheeler +1
We study the evolution of compact convex curves in two-dimensional space forms. The normal speed is given by the difference of the weighted inverse curvature with the support funct…
Shifted inverse curvature flows in hyperbolic space
Xianfeng Wang, Yong Wei, Tailong Zhou
We introduce the shifted inverse curvature flow in hyperbolic space. This is a family of hypersurfaces in hyperbolic space expanding by with positive power for a smoot…
Locally constrained curvature flows and geometric inequalities in hyperbolic space
Yingxiang Hu, Haizhong Li, Yong Wei
In this paper, we first study the locally constrained curvature flow of hypersurfaces in hyperbolic space, which was introduced by Brendle, Guan and Li [7]. This flow preserves the…
Contraction of surfaces in hyperbolic space and in sphere
Yingxiang Hu, Haizhong Li, Yong Wei +1
In this paper, we consider the contracting curvature flow of smooth closed surfaces in -dimensional hyperbolic space and in -dimensional sphere. In the hyperbolic case, we sh…
Volume preserving flow and Alexandrov-Fenchel type inequalities in hyperbolic space
Ben Andrews, Xuzhong Chen, Yong Wei
In this paper, we study flows of hypersurfaces in hyperbolic space, and apply them to prove geometric inequalities. In the first part of the paper, we consider volume preserving fl…
Surfaces expanding by non-concave curvature functions
Haizhong Li, Xianfeng Wang, Yong Wei
In this paper, we first investigate the flow of convex surfaces in the space form expanding by , where is a smooth, symmetric, increasing a…
Stability of torsion-free G_2 structures along the Laplacian flow
Jason D. Lotay, Yong Wei
We prove that torsion-free G_2 structures are (weakly) dynamically stable along the Laplacian flow for closed G_2 structures. More precisely, given a torsion-free G_2 structure …
Smooth compactness of -minimal hypersurfaces with bounded -index
Ezequiel Barbosa, Ben Sharp, Yong Wei
Let be a complete smooth metric measure space with and Bakry-Émery Ricci curvature bounded below by a positive constant. We prove a smooth co…
Alexandrov-Fenchel type inequalities for convex hypersurfaces in hyperbolic space and in sphere
Yong Wei, Changwei Xiong
In this paper, firstly, inspired by Natário's recent work \cite{Na}, we use the isoperimetric inequality to derive some Alexandrov-Fenchel type inequalities for closed convex hyper…
Sharp diameter estimates for compact manifold with boundary
Haizhong Li, Yong Wei
Let be an -dimensional complete Riemannian manifold with nonempty boundary $\pt N$. Assume that the Ricci curvature of has a negative lower bound …
The Gauss-Bonnet-Chern mass for graphic manifolds
Haizhong Li, Yong Wei, Changwei Xiong
In this paper, we prove a positive mass theorem and Penrose-type inequality of the Gauss-Bonnet-Chern mass for the graphic manifold with flat normal bundle.
On inverse mean curvature flow in Schwarzschild space and Kottler space
Haizhong Li, Yong Wei
In this paper, we first study the behavior of inverse mean curvature flow in Schwarzschild manifold. We show that if the initial hypersurface is strictly mean convex and star-s…
A geometric inequality on hypersurface in hyperbolic space
Haizhong Li, Yong Wei, Changwei Xiong
In this paper, we use the inverse curvature flow to prove a sharp geometric inequality on star-shaped and two-convex hypersurface in hyperbolic space.
Note on Brendle-Eichmair's paper "Isoperimetric and Weingarten surfaces in the Schwarchild manifold"
Haizhong Li, Yong Wei, Changwei Xiong
In this short note, we show that the assumption "convex" in Theorem 7 of Brendle-Eichmair's paper \cite{BE} is unnecessary.
-minimal surface and manifold with positive -Bakry-Émery Ricci curvature
Haizhong Li, Yong Wei
In this paper, we first prove a compactness theorem for the space of closed embedded -minimal surfaces of fixed topology in a closed three-manifold with positive Bakry-Émery Ric…
Non-collapsing for hypersurface flows in the sphere and hyperbolic space
Ben Andrews, Xiaoli Han, Haizhong Li +1
We prove a non-collapsing property for curvature flows of embedded hypersurfaces in the sphere and in hyperbolic space.
-stability for self-shrinking solutions to mean curvature flow
Ben Andrews, Haizhong Li, Yong Wei
In this paper, we formulate the notion of the -stability of self-shrinking solutions to mean curvature flow in arbitrary codimension. Then we give some classifications…
Lower volume growth estimates for Self-shrinkers of mean curvature flow
Haizhong Li, Yong Wei
We obtain a Calabi-Yau type lower volume growth estimates for complete noncompact self-shrinkers of the mean curvature flow, more precisely, every complete noncompact properly imme…