Some Decomposition of Normal Projective Curvature Tensor I

Fahmi Yaseen Abdo Qasem, Abdalstar Ali Mohsen Saleem

Abstract: In the present paper, a Finsler space F_n for which the normal projective curvature tensor N_jkh^i satisfies N_jkh^i=y^i Y_jkh and N_jkh^i=y_j Y_kh^i, where Y_jkh and Y_kh^i are non-zero tensor fileds called decompositions tensor fields, we study the properties of such decomposition and decomposition of projective curvature tensor. Keywords: a Finsler space, decompositions tensor, decomposition of projective curvature tensor. Title: Some Decomposition of Normal Projective Curvature Tensor I Author: Fahmi Yaseen Abdo Qasem, Abdalstar Ali Mohsen Saleem International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Research Publish Journals

Vol. 3, Issue 2, October 2015 – March 2016

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Some Decomposition of Normal Projective Curvature Tensor I by Fahmi Yaseen Abdo Qasem, Abdalstar Ali Mohsen Saleem