Inheritance Kulkarni - Nomizu product in generalized BK-fifth recurrent Finsler space by Lie - derivative

Document Type : Original Article

Authors

1 Department of Mathematics, Education Faculty, Aden University, Yemen Department of Engineering, Faculty of Engineering & Computing University of Science and Technology, Aden, Yemen

2 Department of Mathematics, Faculty of Education, Zanjbar Abyan University, Abyan, Yemen

Abstract

This paper deals with space known as "generalized fifth recurrent Finsler space." The core idea centers around a mathematical object called the" Inheritance Kulkarni-Nomizu product" which is applied to two Ricci tensors satisfy an inheritance property. We apply the inheritance property with Kulkarni - Nomizu product of two Ricci tensosrs by using Lie - derivative in generalized fifth recurrent Finsler space. In addition, we prove that the Lie - derivative of the inheritance Kulkarni - Nomizu product of K-Ricci tensor and H-Ricci tensor vanishes simultaneously.

Keywords

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Journal of Finsler Geometry and its Applications
Volume 5, Issue 2
December 2024
Pages 116-126

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