Article
Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition
Author/s | Carriazo Rubio, Alfonso
Fernández Fernández, Luis Manuel Loiudice, Eugenia |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2020-06-02 |
Deposit Date | 2021-04-13 |
Published in |
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Abstract | 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 ... 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. |
Citation | Carriazo Rubio, A., Fernández Fernández, L.M. y Loiudice, E. (2020). Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition. Mathematics, 8 (6), 891-1-891-11. |
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