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RIEMANNIAN MANIFOLDS ADMITTING A CONFORMAL TRANSFORMATION GROUP

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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Bibliografische gegevens
Hoofdauteur: Yano, Kentaro
Formaat: Artigo
Taal:Inglês
Gepubliceerd in: 1969
Onderwerpen:
Online toegang:https://ncbi.nlm.nih.gov/pmc/articles/PMC277788/
https://ncbi.nlm.nih.gov/pubmed/16578692
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