Curvature properties of Quasi-Para-Sasakian Manifolds

İrem Küpeli Erken

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arXiv · 1807.04138

Curvature properties of Quasi-Para-Sasakian Manifolds

İrem Küpeli Erken

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Abstract

The present paper is devoted to quasi-Para-Sasakian manifolds. Basic properties of such manifolds are obtained and general curvature identities are investigated. Next it is proved that if $M$ is quasi-Para-Sasakian manifold of constant curvature $K$. Then $K$ $\leq 0$ and $(i)~$if $K=0$, the manifold is paracosymplectic, $(ii)$ if $K<0$, the quasi-para-Sasakian structure of $M$ is obtained by a homothetic deformation of a para-Sasakian structure.

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BibTeX RIS

İrem Küpeli Erken. 2018-07-10. Curvature properties of Quasi-Para-Sasakian Manifolds. https://arxiv.org/abs/1807.04138

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