Decomposition of Fundamental Function of Finsler Space & Some Tensors by Lie-Derivative in GBK- 5RFn
Article Sidebar
This work is licensed under a Creative Commons Attribution 4.0 International License.
Main Article Content
Abstract
This paper discuses the decomposition of Fundamental Function of Finsler space by Lie-derivative in generalized fifth recurrent Finsler space for Cartan's fourth curvature tensor K_jkh^i in sense of Berwald. The decomposition of Lie-derivative of some tensors is studied by using a covariant, contravariant and mixed tensor in GBK-5RF_(n ). The decomposition tensor φ_kh^ibehaves as fifth-recurrent is proved. Also, new identities are established in generalized BK- fifth recurrent Finsler space that admits tensors decomposition.
Downloads
Article Details
References
Abdallah A, Navlekar A, Ghadle K, Hardan B. Fundamentals and recent studies of Finsler
geometry. International Journal of Advances in Applied Mathematics and Mechanics. 2022;
(10), (2): 27-38.
AL-Qashbari A. Recurrence Decompositions in Finsler Space. Journal of Mathematical Analysis
and Modeling. 2020; ISSN: 2709-5924, Vol. 1: 77-86.
AL-Qashbari A, Baleedi S. Study on Generalized BK-5Recurrent Finsler space. Computational
Mathematics and its Applications. 2023 ;1(1):009-020.
AL-Qashbari A, Baleedi S. On Lie-Derivative of M-Projective Curvature Tensor and K-
Curvature Inheritance in GBK-5RF_n .Acta Universitatis Apulensis. 2024; ISSN:1582-5329:1-12.
AL-Qashbari A, Saeed, A. Decomposition of Curvature tensor field〖 R〗_jkh^i recurrent spaces and
second order. Univ. Aden J. Nat. and Appl. Sc. 2023; (27)(2): 281-289.
AL-Qashbari, A.M.A., Saleh, S. and Ibedou, I. (2024): On some relations of R-projective
curvature tensor in recurrent Finsler space, Journal of Non-Linear Modeling and Analysis
(JNMA), (China), Vol. 6, No.4, 1216-1227.
AL-Qashbari, A.M.A. & AL-Maisary A.A.S. (2023). Study on generalized W_jkh^i of fourth
order recurrent in Finsler space. Journal of Yemeni Engineer, Univ. Aden, 17 (2), 72-86.
Opondo M. Study of Projective curvature tensor W_jkh^i in bi-recurrent Finsler space. Ph.D.
Dissertation. Kenyatta University, (Nairobi), (Kenya), (2021).
Negi U. Decomposition of Riemannian Recurrent Curvature Tensor Manifolds of First Order.
Journal of Nepal mathematical Society. 2022; (5)(2): 65-71.
Bisht M, Negi U. Decomposition of normal projective Curvature Tensor fields in Finsler
manifolds. International Journal of Statistics and Applied Mathematics. 2021; 6(1):237-241.
Gouin H. Remarks on the Lie derivative in fluid mechanics. International Journal of Non- Linear
Mechanics. 2023 ;150: 1-16.
Gruver N, Finzi M, Goldblum M, Wilson A. The Lie Derivative for Measuring Learned
Equivariance.arXiv:2210.02984, Cornell University (NewYork). 2023; Vol.1: 1-23.
Pak E, Kim G. Reeb Lie derivatives on real hypersurfaces in complex hyperbolic two-plane
Grassmannians. Faculty of Sciences and Mathematics.University of Nis, (Serbia), Filomat 37:3.
; 915-924.
Paker E. The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial
dimensions. arXiv:2302.04092vI, Cornell University (NewYork). 2023; Vol.5: 1-7.
Saad A, Muhmoud M, Mostafa A. Generating Matrices of Rotation in Minkowski Spaces using
the Lie Derivative. Scientific Journal for the Faculty of Science-Sirte University. 2022; (2)(2):
-90.
Saxena M. Decomposition of Special Pseudo Projective Curvature Tenso Field. Journal of
applied mathematics & informatics University. 2023; (41)(5):989-999.
Bidabad B, Sepasi M. Complete Finsler Spaces of Constant Negative Ricci Curvature. J. of
Math. D.G. 2020; Vol. 1, 19 Feb.: 1–12.
Atashafrouz M, Najafi B. On D-Recurrent Finsler Metrics. Bull. Iran. Math. Soc.47, 2021;
-156.