Conformally flat 3-manifolds with constant scalar curvature

Qing-Ming CHENG; Susumu ISHIKAWA; Katsuhiro SHIOHAMA

doi:10.2969/jmsj/05110209

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Conformally flat 3-manifolds with constant scalar curvature

Qing-Ming CHENG, Susumu ISHIKAWA, Katsuhiro SHIOHAMA

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

JOURNAL FREE ACCESS

1999 Volume 51 Issue 1 Pages 209-226

DOI https://doi.org/10.2969/jmsj/05110209

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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.

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