On $\phi-$Quasiconformally Symmetric $N(k)-$Contact Metric Manifolds

Avik De, Yoshio Matsuyama

Abstract


The object of the present paper is to study locally and globally $\phi-$quasiconformally symmetric $N(k)-$metric manifolds. We prove that a globally $\phi-$quasiconformally $N(k)-$contact metric manifold $M^{2n+1}(n\geq1)$ is Sasakian. Some observations for a $3$-dimensional locally $\phi-$symmetric $N(k)-$contact metric manifold are given. We also give an example of a $3$-dimensional locally $\phi-$quasicon-formally symmetric $N(k)-$contact metric manifold.

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|ISSN 1686-0209|