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- W4287777386 abstract "We prove that if the $f$-sectional curvature at any point $p$ of a $(2n+s)$-dimensional $f$-$(kappa,mu)$ manifold with $n>1$ is independent of the $f$-section at $p$, then it is constant on the manifold. Moreover, we also prove that an $f$-$(kappa,mu)$ manifold which is not an $S$-manifold is of constant $f$-sectional curvature if and only if $mu=kappa+1$ and we give an explicit expression for the curvature tensor field. Finally, we present some examples." @default.
- W4287777386 created "2022-07-26" @default.
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- W4287777386 date "2020-05-18" @default.
- W4287777386 modified "2023-09-25" @default.
- W4287777386 title "Metric $f$-contact manifolds satisfying the $(kappa,mu)$-nullity condition" @default.
- W4287777386 doi "https://doi.org/10.48550/arxiv.2005.08643" @default.
- W4287777386 hasPublicationYear "2020" @default.
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