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# Study on Einstein-K ̈aehlerian 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. Further, Rawat and Kunwar Singh [12] studied the decomposition of curvature tensor field in K¨aehlerian recurrent space of 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 EinsteinK¨aehlerian recurrent space of first order and several theorem have been established and proved.

Keywords and Phrases : K¨aehlerian space, Einstein space, Einstein K¨aehlerian space, recurrent space, Curvature tensor, Projective curvature tensor
Received date : September 16, 2015

Accepted date: December 20, 2015

cited by: J.T.S. Vol. 9 (2015), pp.45-51