922 citations · 7.2k across the 348 of their papers we have counts for
5 papers · 2 filters
Evaluating small sphere limit of the Wang-Yau quasi-local energy
PoNing Chen, Mu-Tao Wang, Shing-Tung Yau
In this article, we study the small sphere limit of the Wang-Yau quasi-local energy defined in [18,19]. Given a point in a spacetime , we consider a canonical family of surf…
The rest mass of an asymptotically Anti-de Sitter spacetime
Po-Ning Chen, Pei-Ken Hung, Mu-Tao Wang +1
We study the space of Killing fields on the four dimensional AdS spacetime . Two subsets and are identified: (the spinor Killin…
Further studies on the notion of differentiable maps from Azumaya/matrix manifolds, I. The smooth case
Chien-Hao Liu, Shing-Tung Yau
In this follow-up of our earlier two works D(11.1) (arXiv:1406.0929 [math.DG]) and D(11.2) (arXiv:1412.0771 [hep-th]) in the D-project, we study further the notion of a `differenti…
(1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions
Tristan C. Collins, Adam Jacob, Shing-Tung Yau
Let be a Kähler manifold of dimension n, and let . We study the problem of specifying the Lagrangian phase of with respect to , which…
Negative Holomorphic curvature and positive canonical bundle
Damin Wu, Shing-Tung Yau
In this note we show that if a projective manifold admits a Kähler metric with negative holomorphic sectional curvature then the canonical bundle of the manifold is ample. This con…