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On P3-Like Finsler Space

Authors

B.N. Prasad, T.N. Pandey and Amitabh Mishra

Abstract

There are three kinds of torsion tensor in Cartan’s theory of Finsler spaces. Two of them are (h) hv-torsion tensor Cijk and (v) hv-torsion tensor Pijk,which are symmetric in all their indices and both are indicatory tensors. Mathematics have studied various interesting special forms of these torsion tensors. For example C-reducible [2], semi C- reducible [6],C2-like [6] and C3-like[9] Finsler spaces are based on the special forms of Cijk where as P-reducible [1] [5] and P-symmetric [5] Finsler spaces are based on the special forms of Pijk. In the present paper we shall discuss another special form of P ijk.

Keywords and Phrases : Finsler spaces, Cartan’s theory of Finsler spaces, hv-torsion tensor, C-reducible.

Received date : March 17, 2007

Accepted date: June 12, 2007

cited by: J.T.S. Vol. 1 (2007), pp.51-61

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