159 citations · 725 across the 78 of their papers we have counts for
7 papers · 2 filters
A volume preserving flow and the isoperimetric problem in warped product spaces
Pengfei Guan, Junfang Li, Mu-Tao Wang
In this article, we continue the work in \cite{GL} and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the vo…
Quasi-local mass at the null infinity of the Vaidya spacetime
Po-Ning Chen, Mu-Tao Wang, Shing-Tung Yau
There are two important statements regarding the Trautman-Bondi mass [1,8,5] at null infinity: one is the positivity [7,6], and the other is the Bondi mass loss formula [1], which…
Mean curvature flows in manifolds of special holonomy
Chung-Jun Tsai, Mu-Tao Wang
We study the uniqueness of minimal submanifolds and the stability of the mean curvature flow in several well-known model spaces of manifolds of special holonomy. These include the…
Quasi-local energy with respect to a static spacetime
Po-Ning Chen, Mu-Tao Wang, Ye-Kai Wang +1
This article considers the quasi-local energy in reference to a general static spacetime. We follow the approach developed by the authors in [19, 20, 7, 9] and define the quasi-loc…
Generalized Lagrangian mean curvature flows: the cotangent bundle case
Knut Smoczyk, Mao-Pei Tsui, Mu-Tao Wang
In [SW2], we defined a generalized mean curvature vector field on any almost Lagrangian submanifold with respect to a torsion connection on an almost Kähler manifold. The short tim…
Quasi-local energy in presence of gravitational radiation
Po-Ning Chen, Mu-Tao Wang, Shing-Tung Yau
We discuss our recent work [4] in which gravitational radiation was studied by evaluating the Wang-Yau quasi-local mass of surfaces of fixed size at the infinity of both axial and…