4 papers
Conformal Positive Mass Theorems for Manifolds with Charge
Wang Qizhi
In this paper, we prove conformal positive mass theorems for asymptotically flat manifolds with charge. We apply conformal relations to show that if the conformal sum of scalar cur…
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…
A Search of The Four-Color Theorem and its Higher Dimensional Generalization
Qizhi Wang
Four-Color Theorem has secret in its logical proof and actual operating. In this paper we will give a proof of Four-Color Theorem based on Kuratowski's Theorem using some induction…
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…