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arXiv · 1812.01979

On the geometry of trans-para-Sasakian manifolds

Simeon Zamkovoy
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Abstract

In this paper, we introduce the trans-para-Sasakian manifolds and we study their geometry. These manifolds are an analogue of the trans-Sasakian manifolds in the Riemannian geometry. We shall investigate many curvature properties of these manifolds and we shall give many conditions under which the manifolds are either $\eta-$Einstein or Einstein manifolds.

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Simeon Zamkovoy. 2018-12-05. On the geometry of trans-para-Sasakian manifolds. https://arxiv.org/abs/1812.01979

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