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math.DG2013
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…
math.DG2013★ 5 cited
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 \…
math.DG2013★ 1 cited
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…