On contact pseudo-metric manifolds satisfying a nullity condition

Narges Ghaffarzadeh; Morteza Faghfouri

doi:10.1016/j.jmaa.2020.124849

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arXiv · 2003.12601

On contact pseudo-metric manifolds satisfying a nullity condition

Narges Ghaffarzadeh·Morteza Faghfouri

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Abstract

In this paper, we aim to introduce and study $(\kappa, \mu)$-contact pseudo-metric manifold and prove that if the $\varphi$-sectional curvature of any point of $M$ is independent of the choice of $\varphi$-section at the point, then it is constant on $M$ and accordingly the curvature tensor. Also, we introduce generalized $(\kappa, \mu)$-contact pseudo-metric manifold and prove for $n>1$, that a non-Sasakian generalized $(\kappa, \mu)$-contact pseudo-metric manifold is a $(\kappa, \mu)$-contact pseudo-metric manifold.

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Narges Ghaffarzadeh, Morteza Faghfouri. 2020-03-27. On contact pseudo-metric manifolds satisfying a nullity condition. https://doi.org/10.1016/j.jmaa.2020.124849

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