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- W2563543503 abstract "In 1988, S. Tanno [12] introduced the notion of -nullity distribution of a Contact metric manifold as a distribution such that the characteristic vector field of the Contact metric manifold belongs to the distribution. The Contact metric manifold with belonging to the nullity distribution is called ( )-Contact metric manifold and such a manifold is also studied by various authors. In 2008, De, Gazi [6] studied -recurrent N(k)-Contact metric manifold. In this paper we study Generalized Concircular -recurrent N(k)-Contact metric manifold. Here we show that Generalized Concircular -recurrent N(k)-Contact metric manifold is an -Einstein manifold, and we find a relation between the associated 1-forms A and B. We also prove that the characteristic vector field and the vector field associated to the 1forms A and B are co-directional. Finally we prove that a generalized Concircular recurrent N(k)-Contact metric manifold is of constant curvature." @default.
- W2563543503 created "2017-01-06" @default.
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- W2563543503 date "2014-01-01" @default.
- W2563543503 modified "2023-09-26" @default.
- W2563543503 title "On Generalized Concircular -Recurrent ( )-Contact Metric Manifold" @default.
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