Open Access
January, 1999 Conformally flat 3-manifolds with constant scalar curvature
Qing-Ming CHENG, Susumu ISHIKAWA, Katsuhiro SHIOHAMA
J. Math. Soc. Japan 51(1): 209-226 (January, 1999). DOI: 10.2969/jmsj/05110209

Abstract

We classify complete conformally flat three dimensional Riemannian manifolds with constant scalar curvature and constant squared norm of Ricci curvature tensor by applying the Generalized Maximum Principle due to H. Omori.

Citation

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Qing-Ming CHENG. Susumu ISHIKAWA. Katsuhiro SHIOHAMA. "Conformally flat 3-manifolds with constant scalar curvature." J. Math. Soc. Japan 51 (1) 209 - 226, January, 1999. https://doi.org/10.2969/jmsj/05110209

Information

Published: January, 1999
First available in Project Euclid: 10 June 2008

zbMATH: 0949.53023
MathSciNet: MR1661052
Digital Object Identifier: 10.2969/jmsj/05110209

Subjects:
Primary: 53C20

Keywords: conformally flat manifold , constant scalar curvature and Ricci curvature tensor , space form

Rights: Copyright © 1999 Mathematical Society of Japan

Vol.51 • No. 1 • January, 1999
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