PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 40(54), pp. 161--173 (1986)
DIFFERENT KINDS OF THE COVARIANT DIFFERENTATIONS IN RECURRENT FINSLER SPACES
Irena Comi\'cTehnicki fakultet, Novi Sad, Yugoslavia
Abstract: A Finsler spaceis defined to be recurrent if the metric tensor is recurrent. In such a space two ortogonal families of vector fields are defined. Using a family of connection coefficients depending on a parameter, we examine conditions which should be satisfied so that the projections of the metric tensor in the direction of mentioned vector fields are recurrent.
Classification (MSC2000): 53C60
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts