Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition
We prove that if the f-sectional curvature at any point of a (2n+s) -dimensional metric f-contact manifold satisfying the (κ,μ) nullity condition with n>1 is independent of the f-section at the point, then it is constant on the manifold. Moreover, we also prove that a non-normal metric f-contact...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2020 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/107021 |
| Acceso en línea: | https://hdl.handle.net/11441/107021 https://doi.org/10.3390/math8060891 |
| Access Level: | acceso abierto |
| Palabra clave: | metric f-contact manifold f-(κ,μ) manifold f-(κ,μ)-space form |
| Sumario: | We prove that if the f-sectional curvature at any point of a (2n+s) -dimensional metric f-contact manifold satisfying the (κ,μ) nullity condition with n>1 is independent of the f-section at the point, then it is constant on the manifold. Moreover, we also prove that a non-normal metric f-contact manifold satisfying the (κ,μ) nullity condition is of constant f-sectional curvature if and only if μ=κ+1 and we give an explicit expression for the curvature tensor field in such a case. Finally, we present some examples. |
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