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- W2336469739 abstract "In the present study, we considered 3-dimensional generalized (•;)-contact metric manifolds. We proved that a 3-dimensional gener- alized (•;)-contact metric manifold is not locally `-symmetric in the sense of Takahashi. However such a manifold is locally `-symmetric pro- vided thatand are constants. Also it is shown that if a 3-dimensional generalized (•;) -contact metric manifold is Ricci-symmetric, then it is a (•;)-contact metric manifold. Further we investigated certain condi- tions under which a generalized (•;)-contact metric manifold reduces to a (•;)-contact metric manifold. Then we obtain several necessary and su-cient conditions for the Ricci tensor of a generalized (•;)-contact metric manifold to be ·-parallel. Finally, we studied Ricci-semisymmetric generalized (•;)-contact metric manifolds and it is proved that such a manifold is either ∞at or a Sasakian manifold." @default.
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- W2336469739 date "2007-01-01" @default.
- W2336469739 modified "2023-09-24" @default.
- W2336469739 title "On 3-dimensional generalized -contact metric manifolds." @default.
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