Certain results on N(k)-contact metric manifolds

Uday Chand De

Abstract


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.

Keywords


Three dimensional N(k)-contact metric manifolds; concircularly pseudosymmetric; Ricci soliton; Gradient Ricci soliton; Einstein manifolds; Three dimensional N(k)-contact metric manifolds; concircularly pseudosymmetric; Ricci soliton

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References


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DOI: http://dx.doi.org/10.5556/j.tkjm.49.2018.2506

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