An Extension of Weyl Schouten Theorem for Lipschitz and H2 Manifolds

作     者：Xiao Shang JIN 

作者机构：Department of MathematicsNanjing UniversityNanjing 210093P.R.China Beijing International Center for Mathematical ResearchPeking UniversityBeijing 100871P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2017年第33卷第7期

页      面：926-932页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Weyl Schouten theorem Lipschitz harmonic coordinates conformal 

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.