A new characterization of the Euclidean sphere
| Autor: | José N. V. Gomes, Cícero P. Aquino, Abdênago Barros |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Quantitative Biology::Biomolecules Multidisciplinary Conformal vector field Scalar curvature 010102 general mathematics Conformal map Einstein manifold Riemannian manifold 01 natural sciences Euclidean sphere 010101 applied mathematics Euclidean geometry lcsh:Q Vector field Mathematics::Differential Geometry 0101 mathematics lcsh:Science Constant (mathematics) Mathematical physics |
| Zdroj: | Anais da Academia Brasileira de Ciências, Volume: 90, Issue: 3, Pages: 2663-2670, Published: SEP 2018 Anais da Academia Brasileira de Ciências v.90 n.3 2018 Anais da Academia Brasileira de Ciências Academia Brasileira de Ciências (ABC) instacron:ABC Anais da Academia Brasileira de Ciências, Vol 90, Iss 3, Pp 2663-2670 |
| Popis: | In this paper, we obtain a new characterization of the Euclidean sphere as a compact Riemannian manifold with constant scalar curvature carrying a nontrivial conformal vector field which is also conformal Ricci vector field. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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