Open AccessOn Generalized \(R^h\) -Trirecurrent Space
Author(s) -
Fahmi Yaseen Qasem,
Adel Mohammed Ali Al-Qashbari,
Mohsen Mohammed Husien
Publication year - 2020
Publication title -
mağallaẗ ğāmi'aẗ 'adan li-l-'ulūm al-ṭabīyyaẗ wa-al-taṭbīqiyyaẗ
Language(s) - English
Resource type - Journals
eISSN - 2788-9327
pISSN - 1606-8947
DOI - 10.47372/uajnas.2020.n2.a14
Subject(s) - space (punctuation) , mathematics , covariant transformation , tensor field , tensor (intrinsic definition) , order (exchange) , zero (linguistics) , curvature , ricci curvature , mathematical physics , pure mathematics , mathematical analysis , geometry , exact solutions in general relativity , philosophy , linguistics , finance , economics
In the present paper‚ a Finsler space \(F_n\) whose Cartan’s fourth curvature tensor \(R_jkh^i\) satisfies \(R_{(jkh|l|m|n)}^i = c_{lmn} R_{jkh}^i + d_{lmn} ( δ_k^i g_{jh} - δ_h^i g_{jk} )\), \(R_jkh^i≠0\) , where \(c_{lmn}\) and \(d_{lmn}\) are non-zero covariant tensor fields, of third order is introduced and such space is called as generalized \(R^h\) -trirecurrent Finsler space and denote it briefly by \(GR^h-TRF_n\)‚ we obtained some generalized trirecurrent spaces. Also we introduced Ricci generalized trirecurrent space.