922 citations · 7.2k across the 348 of their papers we have counts for
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Structures of Three-Manifilds
Shing-Tung Yau
This is lecture notes of a talk I gave at the Morningside Center of Mathematics on June 20, 2006. In this talk, I survey on Poincare and geometrization conjecture.
Positivity of the Bondi mass in Bondi's radiating spacetimes
Wen-ling Huang, Shing Tung Yau, Xiao Zhang
We find two conditions related to the {\it news functions} of the Bondi's radiating vacuum spacetimes. We provide a complete proof of the positivity of the Bondi mass by using Scho…
Perspectives on geometric analysis
Shing-Tung Yau
This is a survey paper on several aspects of differential geometry for the last 30 years, especially in those areas related to non-linear analysis. It grew from a talk I gave on th…
A generalization of Liu-Yau's quasi-local mass
Mu-Tao Wang, Shing-Tung Yau
In \cite{ly, ly2}, Liu and the second author propose a definition of the quasi-local mass and prove its positivity. This is demonstrated through an inequality which in turn can be…