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Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1969 Feb;62(2):314–319. doi: 10.1073/pnas.62.2.314

RIEMANNIAN MANIFOLDS ADMITTING A CONFORMAL TRANSFORMATION GROUP

Kentaro Yano 1,*
PMCID: PMC277788  PMID: 16578692

Abstract

Let M be a Riemannian manifold with constant scalar curvature K which admits an infinitesimal conformal transformation. A necessary and sufficient condition in order that it be isometric with a sphere is obtained.

Inequalities giving upper and lower bounds for K are also derived.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

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