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An Extension of Weyl Schouten Theorem for Lipschitz and H2 Manifolds

An Extension of Weyl Schouten Theorem for Lipschitz and H^2 Manifolds
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摘要 In this article, we extend the Weyl Schouten Theorem for a C0'1 A W2'2 manifold only under the assumptions on scalar curvature. Also we obtain a regularity of a C0'1 V/W2'2 manifold by conformal transformation under some assumptions on Weyl curvature and scalar curvature. In this article, we extend the Weyl Schouten Theorem for a C0'1 A W2'2 manifold only under the assumptions on scalar curvature. Also we obtain a regularity of a C0'1 V/W2'2 manifold by conformal transformation under some assumptions on Weyl curvature and scalar curvature.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2017年第7期926-932,共7页 数学学报(英文版)
关键词 Weyl Schouten theorem LIPSCHITZ harmonic coordinates CONFORMAL Weyl Schouten theorem, Lipschitz, harmonic coordinates, conformal
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