International Research Journal of Innovations in Engineering and Technology - IRJIET International Open Access, Monthly, Peer Reviewed, Reputed Journal ISSN (online): 2581-3048

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DOI Prefix: 10.47001/IRJIET

On U-Recurrent Finsler Space

Abstract

In the present paper, we introduce a Finsler space which hv - curvature tensor satisfies the recurrence property in sense of Cartan. The relationship between hv - curvature tensor Uijkh and Douglas tensor Dijkh have been studied. We obtain the necessary and sufficient condition for some tensors to be recurrent. Finally, the recurrence property in a projection on indicatrix with respect to Cartan connection has been discussed.

Country : India

1 Abdalstar Ali Mohsen Saleem2 Alaa A. Abdallah

  1. Department of Mathematics, Faculty of Sciences, Aden University, Aden, Yemen
  2. Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, India & Department of Mathematics, Faculty of Education, Abyan University, Abyan, Yemen

IRJIET, Volume 6, Issue 1, January 2022 pp. 58-63

doi.org/10.47001/IRJIET/2022.601012

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