Locally conformally flat weakly-Einstein manifolds
| Autor: | Ali Haji-Badali, M. Elena Vázquez-Abal, Eduardo García-Río, Rodrigo Mariño-Villar |
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| Rok vydání: | 2018 |
| Předmět: |
Condensed Matter::Quantum Gases
Pure mathematics Euclidean space General Mathematics 010102 general mathematics Product metric 01 natural sciences Homothetic transformation 010101 applied mathematics General Relativity and Quantum Cosmology symbols.namesake Hypersurface Product (mathematics) symbols Mathematics::Differential Geometry 0101 mathematics Einstein Mathematics |
| Zdroj: | Archiv der Mathematik. 111:549-559 |
| ISSN: | 1420-8938 0003-889X |
| DOI: | 10.1007/s00013-018-1221-x |
| Popis: | It is shown that locally conformally flat weakly-Einstein manifolds are either locally symmetric, and hence a product $$N_1^m(c)\times N_2^m(-c)$$ , or otherwise they are locally homothetic to some specific warped product metrics $${\mathcal {I}}\times _fN(c)$$ . As an application we classify weakly-Einstein hypersurfaces in the Euclidean space. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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