On the decomposition of curvature tensor fields in conformal Finsler spaces II

Yıl 2015, Cilt: 6 , 7 - 13, 29.06.2015

James Gatoto , Surendra Singh

Öz

The object of the present paper is to decompose curvature tensor fields in conformal Finsler spaces. The authors have also studied properties of the conformal decomposition tensor fields. The notations used in the sequel are due to H.Rund [4].

Anahtar Kelimeler

Conformal Finsler space; conformal decomposition tensor fields; Bianchi identities; recurrent conformal vector field; covariant derivative.

Kaynakça

• Knebelman M.S., Conformal geometry of generalized metric spaces, Proc. Nat. Academy. Sci. USA., 15 (1929), 376-379.
• Mishra C.K., Lodhi G., On decomposability of the curvature tensor in recurrent Finsler spaces, Dierential Geometry-Dynamical Systems, 10 (2008), 235-242.
• Misra R.B., The Bianchi identities satised by curvature tensors in a conformal Finsler space,Tensor, N.S., 18 (1967), 187-190.
• Rund H.,The dierential Geometry of Finsler spaces Springer-Verlag, (1959).
• Singh S.P., Gatoto J.K., On the decomposition of curvature tensors in recurrent conformal Finsler space, Istanbul Univ.Fac. Mat. Dergisi, 60 (2001), 73-83.
• Sinha B.B., Singh S.P., On decomposition of recurrent curvature tensor elds in Finsler spaces,Bull. Calc. Math. Soc., 62 (1972), 91{96.