53 citations · 372 across the 42 of their papers we have counts for
6 papers · 2 filters
A penrose inequality for graphs over Kottler space
Yuxin Ge, Guofang Wang, Jie Wu +1
In this work, we prove an optimal Penrose inequality for asymptotically locally hyperbolic manifolds which can be realized as graphs over Kottler space. Such inequality relies heav…
The GBC mass for asymptotically hyperbolic manifolds
Yuxin Ge, Guofang Wang, Jie Wu
The paper consists of two parts. In the first part, by using the Gauss-Bonnet curvature, which is a natural generalization of the scalar curvature, we introduce a higher order mass…
Isoperimetric type problems and Alexandrov-Fenchel type inequalities in the hyperbolic space
Guofang Wang, Chao Xia
In this paper, we solve various isoperimetric problems for the quermassintegrals and the curvature integrals in the hyperbolic space $\H^n$, by using quermassintegral preserving cu…
Hyperbolic Alexandrov-Fenchel quermassintegral inequalities II
Yuxin Ge, Guofang Wang, Jie Wu
In this paper we first establish an optimal Sobolev type inequality for hypersurfaces in $\H^n$(see Theorem \ref{mainthm1}). As an application we obtain hyperbolic Alexandrov-Fench…
Hyperbolic Alexandrov-Fenchel quermassintegral inequalities I
Yuxin Ge, Guofang Wang, Jie Wu
In this paper we prove the following geometric inequality in the hyperbolic space $\H^n$ (, which is a hyperbolic Alexandrov-Fenchel inequality, \[\begin{array}{rcl} \ds \…
The Sasaki-Ricci flow on Sasakian 3-spheres
Guofang Wang, Yongbing Zhang
We show that on a Sasakian 3-sphere the Sasaki-Ricci flow initiating from a Sasakian metric of positive transverse scalar curvature converges to a gradient Sasaki- Ricci soliton. W…