On Concircular Vector Field and Lie Derivative in Generalized Fifth Recurrent Finsler Space

Articles in Press

Document Type : Original Article

Authors

1 Department of Mathematics, Faculty of Education, Abyan University, Aden, Yemen

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

3 Department of Mathematics, Education Faculty, Abyan University, Yemen

Abstract

This paper investigates specific types of concircular motions within a generalized fifth recurrent Finsler space, focusing on Cartan’s fourth curvature tensor Kjkhi in sense of Berwald. We established a new definition for the concircular vector field σh and studied the direction of the force acting on this field using the Lie derivative. In addition, we proved that the concircular vector field σh and the recurrence vector λm are equal under certain condition. The mathematical formulas for the Lie-derivative of recurrence vector λm and Lie-derivative of the product of two concircular vector fields within this space have been obtained. In conclusion, we have provided applications and practical examples that illustrate some of the results.

Keywords

References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 09 August 2025

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