A note on trans-Sasakian manifolds

Sharief Deshmukh; Mukut Mani Tripathi

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arXiv · 1203.0860

A note on trans-Sasakian manifolds

Sharief Deshmukh·Mukut Mani Tripathi

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Abstract

In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type $(\alpha ,\beta)$ to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained.

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Sharief Deshmukh, Mukut Mani Tripathi. 2012-03-05. A note on trans-Sasakian manifolds. https://arxiv.org/abs/1203.0860

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