159 citations · 725 across the 78 of their papers we have counts for
10 papers · 2 filters
Rigidity and minimizing properties of quasi-local mass
Po-Ning Chen, Mu-Tao Wang
In this article, we survey recent developments in defining the quasi-local mass in general relativity. We discuss various approaches and the properties and applications of the diff…
Conserved Quantities of harmonic asymptotic initial data sets
Po-Ning Chen, Mu-Tao Wang
In the first half of this article, we survey the new quasi-local and total angular momentum and center of mass defined in [9] and summarize the important properties of these defini…
Conserved quantities on asymptotically hyperbolic initial data sets
Po-Ning Chen, Mu-Tao Wang, Shing-Tung Yau
In this article, we consider the limit of quasi-local conserved quantities [31,9] at the infinity of an asymptotically hyperbolic initial data set in general relativity. These give…
Minkowski formulae and Alexandrov theorems in spacetime
Mu-Tao Wang, Ye-Kai Wang, Xiangwen Zhang
The classical Minkowski formula is extended to spacelike codimension-two submanifolds in spacetimes which admit "hidden symmetry" from conformal Killing-Yano two-forms. As an appli…
Inverse mean curvature flows in the hyperbolic 3-space revisited
Pei-Ken Hung, Mu-Tao Wang
This note revisits the inverse mean curvature flow in the 3-dimensional hyperbolic space. In particular, we show that the limiting shape is not necessarily round after scaling, thu…
Constructing soliton solutions of geometric flows by separation of variables
Mu-Tao Wang
This note surveys and compares results on the separation of variables construction for soliton solutions of curvature equations including the Kähler-Ricci flow and the Lagrangian m…