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Keywords = f-(κ,μ) manifold

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11 pages, 262 KB  
Article
Metric f-Contact Manifolds Satisfying the (κ, μ)-Nullity Condition
by Alfonso Carriazo, Luis M. Fernández and Eugenia Loiudice
Mathematics 2020, 8(6), 891; https://doi.org/10.3390/math8060891 - 2 Jun 2020
Cited by 1 | Viewed by 2255
Abstract
We prove that if the f-sectional curvature at any point of a ( 2 n + s ) -dimensional metric f-contact manifold satisfying the ( κ , μ ) nullity condition with n > 1 is independent of the f-section [...] Read more.
We prove that if the f-sectional curvature at any point of a ( 2 n + 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. Full article
(This article belongs to the Special Issue Sasakian Space)
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