27 citations · 101 across the 16 of their papers we have counts for
6 papers · 1 filter
Positivity of quasi-local mass II
Chiu-Chu Melissa Liu, Shing-Tung Yau
We prove the following stronger verson of the positivity of quasi-local mass stated in gr-qc/0303019: the quasi-local energy (mass) of each connected component of the boundary of a…
Canonical Metrics on the Moduli Space of Riemann Surfaces II
Kefeng Liu, Xiaofeng Sun, Shing-Tung Yau
In this paper we continue our study on the canonical metrics on the Teichmüller and the moduli space of Riemman surfaces. We first prove the equivalence of the Bergman metric and t…
Canonical Metrics on the Moduli Space of Riemann Surfaces I
Kefeng Liu, Xiaofeng Sun, Shing-Tung Yau
We prove the equivalences of several classical complete metrics on the Teichmüller and the moduli spaces of Riemann surfaces. We use as bridge two new Kähler metrics, the Ricci met…
Geometry of three manifolds and existence of Black Hole due to boundary effect
Shing-Tung Yau
In this paper, we observe that the brane functional studied in hep-th/9910245 can be used to generalize some of the works that Schoen and I [4] did many years ago. The key idea is…
Special Lagrangians, stable bundles and mean curvature flow
R. P. Thomas, S. -T. Yau
We make a conjecture about mean curvature flow of Lagrangian submanifolds of Calabi-Yau manifolds, expanding on \cite{Th}. We give new results about the stability condition, and pr…
From Special Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform
Naichung Conan Leung, Shing-Tung Yau, Eric Zaslow
We exhibit a transformation taking special Lagrangian submanifolds of a Calabi-Yau together with local systems to vector bundles over the mirror manifold with connections obeying d…