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On the decomposition of curvature tensor in recurrent conformal Finsler space

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2001
Author NameFaculty of Author
Abstract (2. Language): 
M.S. Knebelman [1]1) has developed conformal geometry of generalised metric spaces. The projective tensor and curvature tensors in conformal Finsler spaces were discussed by R.B.Misra [3,4]. M.Gama [6] has decomposed recurrent curvature tensor in an areal space of submetric class. The decomposition of recurrent curvature tensor in Finsler space was studied by B.B.Sinha and S.P.Singh [5]. The purpose of the present paper is to decompose the recurrent conformal curvature tensor and study the properties of conformal decomposition tensors.
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73-83
  • English

REFERENCES

References: 

['.[] M.S. Knebelrnan : Conformal geometry of generalised metric spaces,
Proc. Nat. Acad. Sci. U.S.A. ,15 ( 1929) p 376-379 . [2] H. Rund : The differential geometry of Finsler space, Springer -Verlag
(1959).
[3] R.B. Misra : Projective tensor in a conformal Finsler space, Bull, de la
Classe des Sciences, Acad. Royale de Belgique, (1967) 1275-1279. [4] R.B,Misra : The Bianchi identities satisfied by curvature tensors in a
conformal Finsler space ,Tensor N.S.,18(1967),pl87-190. [5] B.B.Sinha and S.P.Singh : On decomposition of recurrent curvature
tensor fields in Finsler spaces, Buli.Cal. Math. Soc. 62(1967)p 91-96 [6] M.Garna : On the decomposition of the recurrent tensor in an Areal space
of submetric class,Jour, of Hokkaido Univ. (Section II) 28 (1978) p 77-80

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