Characterizations of the total space (indefinite trans-Sasakian manifolds) admitting a semi-symmetric metric connection (Q2305895)
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| Language | Label | Description | Also known as |
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| English | Characterizations of the total space (indefinite trans-Sasakian manifolds) admitting a semi-symmetric metric connection |
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Characterizations of the total space (indefinite trans-Sasakian manifolds) admitting a semi-symmetric metric connection (English)
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20 March 2020
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Summary: We investigate recurrent, Lie-recurrent, and Hopf lightlike hypersurfaces of an indefinite trans-Sasakian manifold with a semi-symmetric metric connection. In these hypersurfaces, we obtain several new results. Moreover, we characterize that the total space (an indefinite generalized Sasakian space form) with a semi-symmetric metric connection is an indefinite Kenmotsu space form under various lightlike hypersurfaces.
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lightlike hypersurfaces
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indefinite trans-Sasakian
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Lie-recurrent
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Hopf
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semi-symmetric metric connection
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