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VEBLEN IDENTITIE S AND THEIR EQUIVALENCE IN GENERALIZED FINSLER SPACES

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 2004-2005
Author NameFaculty of Author
Abstract (2. Language): 
The generalized Riemannian space was developed by L.P. Eisenhart [1] . Some aspects of generalized Finsler spaces were studied by A.C.Shamihoke [3] and S.P.Singh [5,6]. The present author and J.K.Gatoto [7] have obtained Veblen identities in a conformal Finsler space . The objects of the present paper is to define Veblen identities and obtain the equivalence relation between Bianchi and Veblen identities in the generalized Finsler space GFn.
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FULL TEXT (PDF): 
PDF icon arastrmx_190866_1_pp_51-58.pdf
51-58
  • English

REFERENCES

References: 

[1] L.P. Eisenhart: Generalised Riemann spaces , Proc. Nat. Acad. Sc. USA, 38 (1951), 311-315 .
[2] H.Rund : Differential geometry of Finsler spaces , Springer-Verlag (1959).
[3] A.C.Shamihoke : Some properties of curvature tensors in generalised Finsler space , Tensor ,N.S., N.5 , 12 (1962) , 97-109 .
[4] C.I.Ispas : On the equivalence of Bianchi and Veblen identities in Finsler-Cartan-Kawaguchi spaces , Tensor , N.S., 26(1972) , 468-476 .
[5] S.P.Singh : On the decomposition of recurrent curvature tensor fields in generalised Finsler space , Kyungpook Math.Journ.,15 (1975) , 201-212.
[6] S.P.Singh : Decomposition of recurrent curvature field in 2R-generalised Finsler space , Kyungpook Math. Journ., 22 (1982) , 265-277 .
[7] S.P.Singh and J.K.Gatoto: Veblen identities in a conformal Finsler space , Acad. Prog, of Maths., Vol. 34.No. 142, (2000) , 13-21 .

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