The Gauss-Bonnet-Chern mass for graphic manifolds
In this paper, we prove a positive mass theorem and Penrose-type inequality of the Gauss-Bonnet-Chern mass $m_2$ for the graphic manifold with flat normal bundle.
math.DG↗
arXiv subjects
Changwei Xiong
Publications and source records attributed to Changwei Xiong.
Hypersurfaces with constant anisotropic mean curvatures
We apply the evolution method to present a new proof of the Alexandrov type theorem for constant anisotropic mean curvature hypersurfaces in the Euclidean space $\mathbb{R}^{n+1}$.
math.DG↗
A geometric inequality on hypersurface in hyperbolic space
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.
math.DG↗
Note on Brendle-Eichmair's paper "Isoperimetric and Weingarten surfaces in the Schwarchild manifold"
In this short note, we show that the assumption "convex" in Theorem 7 of Brendle-Eichmair's paper \cite{BE} is unnecessary.
math.DG↗