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World Journal of Engineering Research and Technology

( An ISO 9001:2015 Certified International Journal )

An International Peer Reviewed Journal for Engineering Research and Technology

An Official Publication of Society for Advance Healthcare Research (Reg. No. : 01/01/01/31674/16)

ISSN 2454-695X

Impact Factor : 7.029

ICV : 79.45

WJERT Citation

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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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