EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 42(56), pp. 131--141 (1987)

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SOME SPECIAL CASES OF PARALLEL DISPLACEMENTS IN RECURRENT FINSLER SPACES

Irena Comi\'c

Tehnicki fakultet, Novu Sad, Yugoslavia

Abstract: Some special cycles of line elements in the recurrent Finsler space $F_n$ are considered. If the vector is parallely transported along one of the cycles of lineelements the difference between the original vector and the one obtained after parallel transportation is expressed by some of the curvature tensor. The method used here is the generalisation of that, used by Varga [1], for the non-recurrent Finsler space.

Classification (MSC2000): 53C40

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