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math-ph2016
Some Conformal Positive Mass Theorems
Luen-Fai Tam, Qizhi Wang
W. Simon proved a conformal positive mass theorem, which was used to prove uniqueness of black holes later. In this note, we will generalize Simon's conformal positive mass theorem…
math-ph2014
Harmonic spinors on axisymmetric 3-manifolds with Melvin ends
A. K. M. Masood-ul-Alam, Qizhi Wang
We prove the existence of harmonic spinor fields in axisymmetric Riemannian 3-manifolds having nonnegative scalar curvature and asymptotic to the usual constant time hypersurface o…