SECOND ORDER PARALLEL TENSORS ON PARA r-SASAKIAN MANIFOLDS WITH A COEFFICIENT α

نویسنده

  • LOVEJOY S. DAS
چکیده

Levy [11] had proved that a second order symmetric parallel non singular tensor on a space of constant curvature is a constant multiple of the metric tensor. Sharma [6] has proved that second order parallel tensor in a Kaehler Space of constant holomorphic sectional curvature is a linear combination with constant coefficients of the Kaehlerian metric and the fundamental 2-form. In this paper, we show that a second order symmetric parallel tensor on a para r-Sasakian manifold with a coefficient α is a constant multiple of the associated metric tensor and we have also proved that there is no non zero skew symmetric second order parallel tensor on a para r-Sasakian manifold.

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تاریخ انتشار 2014