The curvature tensor of (κ,μ,ν)-contact metric manifolds
We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the definition and study of generalized (κ, µ, ν)-space forms and of the necessary and...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/47071 |
| Acceso en línea: | http://hdl.handle.net/11441/47071 https://doi.org/10.1007/s00605-015-0762-3 |
| Access Level: | acceso abierto |
| Palabra clave: | (κ, µ, ν)-contact metric manifold Generalized Sasakian space form Generalized (κ, µ)-space form Contact metric manifold Da-homothetic deformation Almost Kenmotsu manifold Conformal flatness |
| Sumario: | We study the Riemann curvature tensor of (κ, µ, ν)-contact metric manifolds, which we prove to be completely determined in dimension 3, and we observe how it is affected by Da-homothetic deformations. This prompts the definition and study of generalized (κ, µ, ν)-space forms and of the necessary and sufficient conditions for them to be conformally flat. |
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