114 citations · 251 across the 5 of their papers we have counts for
5 papers
On shrinking Gradient Ricci Soliton With Nonnegative Sectional Curvature
Mingliang Cai
In this paper, we prove some rigidity theorems for shrinking gradient Ricci solitons with nonnegative sectional curvature.
Rigidity and Positivity of Mass for Asymptotically Hyperbolic Manifolds
Lars Andersson, Mingliang Cai, Gregory J. Galloway
The Witten spinorial argument has been adapted in several works over the years to prove positivity of mass in the asymptotically AdS and asymptotically hyperbolic settings in arbit…
On the topology and area of higher dimensional black holes
Mingliang Cai, Gregory J. Galloway
Over the past decade there has been an increasing interest in the study of black holes, and related objects, in higher (and lower) dimensions, motivated to a large extent by develo…
Boundaries of Zero Scalar Curvature in the AdS/CFT Correspondence
Mingliang Cai, Gregory J. Galloway
In hep-th/9910245, Witten and Yau consider the AdS/CFT correspondence in the context of a Riemannian Einstein manifold of negative Ricci curvature which admits a conforma…
Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature
Mingliang Cai, Greg Galloway
The following version of a conjecture of Fischer-Colbrie and Schoen is proved: If M is a complete Riemannian 3-manifold with nonnegative scalar curvature which contains a two-sided…