Metric $f$-contact manifolds satisfying the $(\kappa ,\mu )$-nullity condition

Alfonso Carriazo, Luis M. Fernández, Eugenia Loiudice

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 constan…