Indexed by: Journal paper

First Author: Xiaoshang Jin

Journal: Acta Mathematica Sinica,English Series

Included Journals: SCI

Affiliation of Author(s): Nanjing University and Beijing International Center for Mathematical Research, Peking University

Place of Publication: China

Discipline: Science

First-Level Discipline: Mathematics

Document Type: J

Volume: 33

Issue: 7

Page Number: 926-932

ISSN No.: 1439-8516

Key Words: Weyl Schouten theorem, Lipschitz, harmonic coordinates, conformal

Date of Publication: 2017-07-01

Abstract: In this article, we extend the Weyl Schouten Theorem for a C^{0,1} ∩ W^{2,2} manifold only under the assumptions on scalar curvature. Also we obtain a regularity of a C^{0,1} ∩ W^{2,2} manifold by conformal transformation under some assumptions on Weyl curvature and scalar curvature.

Links to published journals: https://link.springer.com/article/10.1007/s10114-017-6479-6