64 citations · 420 across the 98 of their papers we have counts for
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Chern's magic form and the Gauss-Bonnet-Chern mass
Guofang Wang, Jie Wu
In this note, we use Chern's magic form in his famous proof of the Gauss-Bonnet theorem to define a mass for asymptotically flat manifolds. It turns out that the new defined…
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…
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…
A new characterization of geodesic spheres in the Hyperbolic space
Jie Wu
This paper gives a new characterization of geodesic spheres in the hyperbolic space in terms of a ``weighted'' higher order mean curvature. Precisely, we show that a compact hypers…