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April 2002 On critical Riemannian metrics for a curvature functional on 3-manifolds
Minyo Katagiri
Proc. Japan Acad. Ser. A Math. Sci. 78(4): 43-45 (April 2002). DOI: 10.3792/pjaa.78.43

Abstract

The normalized $L^2$-norm of the traceless part of the Ricci curvature defines a Riemannian functional on the space of metrics. In this paper, we will consider this functional on 3-manifolds.

Citation

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Minyo Katagiri. "On critical Riemannian metrics for a curvature functional on 3-manifolds." Proc. Japan Acad. Ser. A Math. Sci. 78 (4) 43 - 45, April 2002. https://doi.org/10.3792/pjaa.78.43

Information

Published: April 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1017.58009
MathSciNet: MR1900022
Digital Object Identifier: 10.3792/pjaa.78.43

Subjects:
Primary: 58E11
Secondary: 53C25

Keywords: Critical metrics , Riemannian functionals

Rights: Copyright © 2002 The Japan Academy

Vol.78 • No. 4 • April 2002
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