Abstract: In this paper, we defined a K^h- birecurrent space which is characterized by the condition K_(jkh|m|l)^i= a_lm K_jkh^i , K_jkh^i ≠0 , where〖 a〗_lm is non – zero covariant tensor field of second order called recurrence tensor. The aim of this paper is to study the recurrence tensor field 〖 a〗_lm and to discuss the symmetric and skew – symmetric property of the recurrence covariant tensor field of second order 〖 a〗_lm in K^h- birecurrent space, some results have been obtained . Also to introduced a K^h- birecurrent affinely connected space , different identities concerning K^h- birecurrent affinely connected space have been established .
Keywords: K^h- birecurrent space, Recurrent covariant tensor field of second order, K^h- birecurrent affinely connected space.
Title: On Study Recurrent Covariant Tensor Field of Second Order
Author: Fahmi Yaseen Abdo Qasem, Khaled M. A. Alhamadi, Maqdad Ahmed Abdullah Ali
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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