A Study on $\phi$-Symmetric $\tau$-curvature tensor in $N(k)$-contact metric manifold

  • G. Ingalahalli Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India
  • C.S. Bagewadi Department of Mathematics, Kuvempu University, Shankaraghatta - 577 451, Shimoga, Karnataka, India
Keywords: contact metric manifold, symmetric, recurrent
Published online: 2014-12-25

Abstract


In this paper we study $\tau$-curvature tensor in $N(k)$-contact metric manifold. We study $\tau$-$\phi$-recurrent,$\tau$-$\phi$-symmetric and globally $\tau$-$\phi$-symmetric $N(k)$-contact metric manifold.
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How to Cite
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Ingalahalli G., Bagewadi C. A Study on $\phi$-Symmetric $\tau$-Curvature Tensor in $N(k)$-Contact Metric Manifold. Carpathian Math. Publ. 2014, 6 (2), 203-211.