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math.GM2014
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…
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…