53 citations · 332 across the 44 of their papers we have counts for
5 papers · 2 filters
On Rigidity of hypersurfaces with constant curvature functions in warped product manifolds
Jie Wu, Chao Xia
In this paper, we first investigate several rigidity problems for hypersurfaces in the warped product manifolds with constant linear combinations of higher order mean curvatures as…
Hypersurfaces with constant curvature quotients in warped product manifolds
Jie Wu, Chao Xia
In this paper, we study rigidity problems for hypersurfaces with constant curvature quotients in the warped product manifolds. Here $\…
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…
Liouville theorems for -harmonic maps into Hadamard spaces
Bobo Hua, Shiping Liu, Chao Xia
In this paper, we study harmonic functions on weighted manifolds and harmonic maps from weighted manifolds into Hadamard spaces introduced by Korevaar and Schoen. We prove Liouvill…
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…