( ISSN 2277 - 9809 (online) ISSN 2348 - 9359 (Print) ) New DOI : 10.32804/IRJMSH

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DECOMPOSABILITY OF WELL’S CURVATURE TENSOR IN RECURRENT CONFORMAL FINSLER SPACE (WRC-F_N)

    3 Author(s):  DR. SHIV PRAKASH MISHRA , SUKH RAJ SINGH , DR. S. K. TIWARI

Vol -  6, Issue- 12 ,         Page(s) : 98 - 100  (2015 ) DOI : https://doi.org/10.32804/IRJMSH

Abstract

The decomposition of curvature tensor field was studied by Takano, K [1]. The decomposability of curvature tensor in Finsler space has been studied by Mishra and Lodhi [2]. They stablished some basic and useful results under decompose projective curvature. The object of the present paper is to study decomposition Well’s projective curvature tensor in recurrent conformal Finsler space. Some useful results have been investigated in this paper.

  1. Takano, k., “Affine motion in non-RiemanningK^*-space I, II and III (with M., Okumura), IV and V, Tensor, N.S., 11 (1961), pp. 137-143, 161-173, 174-181, 245-253, 270-278.
  2. Mishra, C.K., Lodhi, G., “On decomposability of the curvature tensor in recurrent conformal Finsler space.” Deff. Geo. Dyn. Systems Vol. 10 (2008), pp. 235-242.
  3. Rund, H., “The differential geometry of Finsler spaces.” Springer-Verlag, Berlin (1959).
  4. Pandey, P.N., “On decomposability of curvature tensor of Finsler manifold.” Acta Mathematics AcademiaeScieniarumHungaricae, Tomus Vol. 38(1-4) (1981), pp. 109-116.
  5. Sinha, B.B., Singh, S.P., “Recurrent Finsler space of second order II.” Rep. Indian J. of Pure and App. Math. Vol. 4(1) (1973), pp. 45-50.

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