922 citations · 7.2k across the 348 of their papers we have counts for
5 papers · 2 filters
A localized spacetime Penrose inequality and horizon detection with quasi-local mass
Aghil Alaee, Martin Lesourd, Shing-Tung Yau
For an admissible class of smooth compact initial data sets with boundary, we prove a comparison theorem between the Wang/Liu-Yau quasi-local mass of the boundary and the Hawking m…
Super -holomorphic Curves: Construction of the Moduli Space
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
Let be a super Riemann surface with holomorphic distribution and a symplectic manifold with compatible almost complex structure . We call a map $Φ\colon M\…
Geometric Inequalities for Quasi-Local Masses
Aghil Alaee, Marcus Khuri, Shing-Tung Yau
In this paper lower bounds are obtained for quasi-local masses in terms of charge, angular momentum, and horizon area. In particular we treat three quasi-local masses based on a Ha…
On Strominger Kähler-like manifolds with degenerate torsion
Shing-Tung Yau, Quanting Zhao, Fangyang Zheng
In this paper, we study a special type of compact Hermitian manifolds that are Strominger Kähler-like, or SKL for short. This condition means that the Strominger connection (also k…
Positive mass theorem for initial data sets with corners along a hypersurface
Aghil Alaee, Shing-Tung Yau
We prove positive mass theorem with angular momentum and charges for axially symmetric, simply connected, maximal, complete initial data sets with two ends, one designated asymptot…