A note on gradient Einstein-type manifolds
| Autor: | José N. V. Gomes |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
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| Zdroj: | Differential Geometry and its Applications. 66:13-22 |
| ISSN: | 0926-2245 |
| DOI: | 10.1016/j.difgeo.2019.04.002 |
| Popis: | In this note, we show that a nontrivial, compact, degenerate or nondegenerate, gradient Einstein-type manifold of constant scalar curvature is isometric to the standard sphere with a well defined potential function. Moreover, under some geometric assumptions, the noncompact case is also treated. In this case, the main result is that a homogeneous, proper, noncompact, nondegenerate, gradient Einstein-type manifold is an Einstein manifold. Comment: Final version which has been accepted for publication in Differential Geometry and its Applications |
| Databáze: | OpenAIRE |
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