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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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Bibliografiset tiedot
Julkaisussa:Proc Natl Acad Sci U S A
Päätekijä: Yano, Kentaro
Aineistotyyppi: Artigo
Kieli:Inglês
Julkaistu: National Academy of Sciences 1969
Aiheet:
Linkit:https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC277788/
https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16578692/
https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.62.2.314
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