A note on trans-Sasakian manifolds |
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| Authors: | Sharief Deshmukh Mukut Mani Tripathi |
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| Affiliation: | 1. Department of Mathematics College of Science, King Saud University, P.O. Box-2455, Riyadh, 11451, Saudi Arabia
2. Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India
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| Abstract: | In this paper, we obtain some sufficient conditions for a 3-dimensional compact trans-Sasakian manifold of type (α, β) to be homothetic to a Sasakian manifold. A characterization of a 3-dimensional cosymplectic manifold is also obtained. |
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