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math.DG2005
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…
math.DG2004★ 1 cited
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…
math.DG2004
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…