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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.

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Yano, Kentaro
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: 1969
Gaiak:
Sarrera elektronikoa:https://ncbi.nlm.nih.gov/pmc/articles/PMC277788/
https://ncbi.nlm.nih.gov/pubmed/16578692
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