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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| Published in: | Proc Natl Acad Sci U S A |
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| Main Author: | |
| Format: | Artigo |
| Language: | Inglês |
| Published: |
National Academy of Sciences
1969
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| Subjects: | |
| Online Access: | 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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