922 citations · 7.2k across the 348 of their papers we have counts for
8 papers · 2 filters
A remark on our paper "Negative Holomorphic curvature and positive canonical bundle"
Damin Wu, Shing-Tung Yau
This is a continuation of our first paper in [WY16]. There are two purposes of this paper: One is to give a proof of the main result in [WY16] without going through the argument de…
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…
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…
Sharp Davies-Gaffney-Grigor'yan Lemma on Graphs
Frank Bauer, Bobo Hua, Shing-Tung Yau
In this note, we prove the sharp Davies-Gaffney-Grigor'yan lemma for minimal heat kernels on graphs.
Nonexistence for complete Kähler Einstein metrics on some noncompact manifolds
Peng Gao, Shing-Tung Yau, Wubin Zhou
Let be a compact Kähler manifold and be a subvariety with codimension greater than or equal to 2. We show that there are no complete Kähler--Einstein metrics on . As a…
On complete constant scalar curvature Kähler metrics with Poincaré-Mok-Yau asymptotic property
Jixiang Fu, Shing-Tung Yau, Wubin Zhou
Let be a compact Kähler manifold and a subvariety of with higher co-dimension. The aim is to study complete constant scalar curvature Kähler metrics on non-compact Kähl…