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Abdallah, Alaa, M. Al-Qashbari, Adel M. Al-Qashbari, M. Baleedi, Saeedah. (1404). On Concircular Vector Field and Lie Derivative in Generalized Fifth Recurrent Finsler Space. سامانه مدیریت نشریات علمی, 6(2), 81-91. doi: 10.22098/jfga.2025.17553.1160
Alaa Abdalnasser Abdallah; Adel M. Al-Qashbari M. Al-Qashbari; Saeedah M. Baleedi. "On Concircular Vector Field and Lie Derivative in Generalized Fifth Recurrent Finsler Space". سامانه مدیریت نشریات علمی, 6, 2, 1404, 81-91. doi: 10.22098/jfga.2025.17553.1160
Abdallah, Alaa, M. Al-Qashbari, Adel M. Al-Qashbari, M. Baleedi, Saeedah. (1404). 'On Concircular Vector Field and Lie Derivative in Generalized Fifth Recurrent Finsler Space', سامانه مدیریت نشریات علمی, 6(2), pp. 81-91. doi: 10.22098/jfga.2025.17553.1160
Abdallah, Alaa, M. Al-Qashbari, Adel M. Al-Qashbari, M. Baleedi, Saeedah. On Concircular Vector Field and Lie Derivative in Generalized Fifth Recurrent Finsler Space. سامانه مدیریت نشریات علمی, 1404; 6(2): 81-91. doi: 10.22098/jfga.2025.17553.1160

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

Journal of Finsler Geometry and its Applications
دوره 6، شماره 2، اسفند 2025، صفحه 81-91    اصل مقاله (288.21 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17553.1160
نویسندگان
Alaa Abdalnasser Abdallah* 1؛ Adel M. Al-Qashbari M. Al-Qashbari2؛ Saeedah M. Baleedi3
1Department of Mathematics, Faculty of Education, Abyan University, Aden, Yemen
2Department of Mathematics, Education Faculty, Aden University, Yemen. Department of Engineering, Faculty of Engineering & Computing University of Science and Technology, Aden, Yemen
3Department of Mathematics, Education Faculty, Abyan University, Yemen
چکیده
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.
کلیدواژه‌ها
Concircular motion؛ Concircular vector field $\sigma_h$؛ Recurrence vector $\lambda_m$؛ Lie-derivative $L_v$؛ Generalized $\mathfrak{B}K$-fifth recurrent Finsler space
مراجع
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3. A. M. AL-Qashbari, A. A. Abdallah and S. M. Baleedi, Projective Motions in Generalized Fifth Recurrent Finsler Space via Lie Derivative of Berwald Covariant Tensors, Int. J. Res. Publ. Rev., 6(4) (2025), 16101-16106.
4. A. M. AL-Qashbari, A. A. Abdallah and S. M. Baleedi, Inheritance Kulkarni - Nomizu product in generalized BK-fifth recurrent Finsler space by Lie-derivative, J. Finsler Geom. Appl., 5(2) (2024), 116-126.
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6. A. M. AL-Qashbari, A. A. Abdallah and S. M. Baleedi, Berwald covariant derivative and Lie derivative of conharmonic curvature tensors in generalized fifth recurrent Finsler space, GPH - Int. J. Math., 8(1) (2025), 24-32.
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