References
L. P. Eisenhart,Non-Riemannian geometry, AMS Coll. Publ. Vol. VIII (1927).
Ram Hit, Decomposition of Berwald's curvature tensor fields,Ann. Fac. Sci. (Kinshasa),1 (1975), 220–226.
R. B. Misra-F. M. Meher, A recurrent Finsler space of second order,Rev. Roum. Pure Appl.,18 (1973), 563–569.
A. Moór, Räume von zweifach rekurrenter Krümmung,Publ. Math. Debrecen,18 (1971), 165–169.
A. Moór, Über Finslerräume von zweifach rekurrenter Krümmung,Acta Math. Acad. Sci. Hungar.,22 (1971), 453–465.
H. D. Pande-T. A. Khan, General decomposition of Berwald's curvature tensor fields in recurrent Finsler space,Atti. Accad. Naz. Lincei. Rend. Cl. Sci. Mat. Natur.,55 (1973) 680–685.
H. D. Pande-H. S. Shukla, On the decomposition of curvature tensor fieldsK i jhk andH i jhk in recurrent Finsler spaces,Ind. J. Pure Appl. Math.,8 (1977), 418–424.
P. N. Pandey, Decomposition of curvature tensor in a recurrent Finsler manifold,Tamkang J. Math.,10 (1979), 31–34.
H. Rund,The differential geometry of Finsler spaces, Springer-Verlag (1959).
B. B. Sinha, Decomposition of recurrent curvature tensor fields of second order,Prog. Math. (Allahabad),6 (1972), 7–14.
B. B. Sinha-S. P. Singh, On decomposition of recurrent curvature tensor fields in Finsler spaces,Bull. Cal. Math. Soc.,62 (1970), 91–96.
B. B. Sinha-S. P. Singh, On decomposition of recurrent curvature tensor fields.Proc. Nat. Acad. Sci. (India),40-A (1970), 105–110.
K. Takano, Recurrent affine motion inS-AK * N spaces,Tensor (N. S.),17 (1966), 321–326.
K. Takano, Decomposition of curvature tensor in a recurrent space,Tensor (N. S.),18 (1967), 343–347.
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Pandey, P.N. On decomposability of curvature tensor of a finsler manifold. Acta Mathematica Academiae Scientiarum Hungaricae 38, 109–116 (1981). https://doi.org/10.1007/BF01917527
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DOI: https://doi.org/10.1007/BF01917527