On a U-birecurrent finsler space
Joint Authors
Salim, Atif Abd al-Majid
Qasim, F. Y. A.
Source
Faculty of Education-Zabid Journal
Issue
Vol. 2010, Issue 3 (31 Dec. 2010), pp.253-267, 15 p.
Publisher
Hodeidah University Faculty of Education-Zabid
Publication Date
2010-12-31
Country of Publication
Yemen
No. of Pages
15
Main Subjects
Abstract EN
The normal projective Finsler connection coefficients have been by defined K.Yano [6].
The components of the curvature tensor with respect to normal projective connection coefficients have also been discussed .
H.D.Pande and S.K.Tiwari [2] introduced the second order recurrence of the curvature tensor ( hv - curvature tensor ) in Finsler space with respect to Cartan's connection .
F.Y.A.
Qasem [4] discussed the recurrence of the curvature tensor in Finsler space with respect to Berwald's connection and he denoted such space by UR - Finsler space.
The purpose of the present paper is to introduce the birecurrence of the curvature tensor in Finsler space with respect to Berwald's connection .
Such space in which the curvature tensor is birecurrent is denoted by UBR – Fn .
Different results have been obtained in this space and certain properties of such space have been searched out .
We discuss the recurrence curvature tensor field of second order and we deal with its properties of an UBR – Fn .
Finally , we discuss the relation of this space with a space in which Douglas curvature tensor is birecurrent and we obtain the necessary condition for Finsler space to be UBR – Fn when Douglas curvature tensor and Ricci tensor are birecurrent .
Key words : Birecurrent Finsler Space, Second Order Recurrent , Douglas Birecurrent Tensor .
American Psychological Association (APA)
Qasim, F. Y. A.& Salim, Atif Abd al-Majid. 2010. On a U-birecurrent finsler space. Faculty of Education-Zabid Journal،Vol. 2010, no. 3, pp.253-267.
https://search.emarefa.net/detail/BIM-239350
Modern Language Association (MLA)
Qasim, F. Y. A.& Salim, Atif Abd al-Majid. On a U-birecurrent finsler space. Faculty of Education-Zabid Journal No. 3 (Dec. 2010), pp.253-267.
https://search.emarefa.net/detail/BIM-239350
American Medical Association (AMA)
Qasim, F. Y. A.& Salim, Atif Abd al-Majid. On a U-birecurrent finsler space. Faculty of Education-Zabid Journal. 2010. Vol. 2010, no. 3, pp.253-267.
https://search.emarefa.net/detail/BIM-239350
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references: p. 267
Record ID
BIM-239350