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Abstract
GEOMETRIC CONDITIONS FOR HOMOTHETIC-TO-PROJECTIVE CONVERSIONS IN FIFTH-ORDER RECURRENT BY LIE-DERIVATIVE IN FINSLER SPACES
Adel M. Al-Qashbari, Alaa A. Abdallah* and Saeedah M. Baleedi
ABSTRACT
In this paper, we introduce five conditions for converting certain types of homothetic motions into projective motions in the generalized fifth recurrent Finsler space by Lie-derivative. Further prove that the Lie-derivative of the Cartan's fourth curvature tensor and h(v)-torsion tensorbehave as fifth recurrent within this space that allows the conversion.
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