Certain results on N(k)-contact metric manifolds

In the present paper we study contact metric manifolds whose characteristic vector field $\xi$ belonging to the $k$-nullity distribution. First we consider concircularly pseudosymmetric $N(k)$-contact metric manifolds of dimension $(2n+1)$. Beside these, we consider Ricci solitons and gradient Ricci...

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Bibliographic Details
Published in:Tamkang journal of mathematics 2018-09, Vol.49 (3), p.205-220
Main Author: De, Uday Chand
Format: Article
Language:English
Online Access:Get full text
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Summary:In the present paper we study contact metric manifolds whose characteristic vector field $\xi$ belonging to the $k$-nullity distribution. First we consider concircularly pseudosymmetric $N(k)$-contact metric manifolds of dimension $(2n+1)$. Beside these, we consider Ricci solitons and gradient Ricci solitons on three dimensional $N(k)$-contact metric manifolds. As a consequence we obtain several results. Finally, an example is given.
ISSN:0049-2930
2073-9826
DOI:10.5556/j.tkjm.49.2018.2506