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# Study on Einstein-Sasakian Decomposable Recurrent Space of First Order

Authors

K. S. Rawat and Sandeep Chauhan

Abstract

Takano [2] have studied decomposition of curvature tensor in a recurrent
space. Sinha and Singh [3] have been studied and defined decomposition of
recurrent curvature tensor field in a Finsler space. Singh and Negi studied
decomposition of recurrent curvature tensor field in a K¨aehlerian space. Negi
and Rawat [6] have studied decomposition of recurrent curvature tensor field
in K¨aehlerian space. Rawat and Silswal [11] studied and defined decomposition of recurrent curvature tensor fields in a Tachibana space. Rawat and Kunwar Singh [12] studied the decomposition of curvature tensor field in K¨aehlerian recurrent space of first order. Further, Rawat and Chauhan [23] studied the decomposition of curvature tensor field in Einstein- K¨aehlerian recurrent spaceof first order. In the present paper, we have studied the decomposition of curvature tensor fields R^h_{ijk} in terms of two non-zero vectors and a tensor field in EinsteinSasakian recurrent space of first order and several theorem have been established and proved.

Keywords and Phrases : Sasakian space, Einstein space, Einstein-Sasakian space, recurrent space, Curvature tensor, Projective curvature tensor
AMS Subject Classification : : 53C25, 53C44, 53D10

Received date : February 13, 2018

Accepted date: June 26, 2018

cited by: J.T.S. Vol. 12 (2018), pp.85-92