The Kulkarni-Nomizu product in $G\mathfrak{B}K-5RF_{n}$ by Lie-derivative
The Kulkarni-Nomizu product in $G\mathfrak{B}K-5RF_{n}$ by Lie-derivative
Adel M. Al-Qashbari(Aden University); Alaa A. Abdallah(Abyan University); Saeedah M. Baleedi(Abyan University); Ahmed A. Hamoud(Taiz University); Homan Emadifar(Middle East University)
7권 3호, 277~291쪽
초록
This paper introduces a new concept in a specific area of mathematics called Finsler geometry. It focuses on space called "generalized fifth recurrent Finsler space." The key idea revolves around a mathematical object called the "Kulkarni-Nomizu product" that applied to two specific tensors, the Ricci tensors i.e, we obtain identities explain the Lie - derivative of Kulkarni - Nomizu product for various Ricci tensors. We apply the Lie-derivative to this product for some Ricci tensors. Further, we introduce a new relation for "M-projective curvature tensor" based on the Lie-derivative of Kulkarni-Nomizu product. Finally, this paper investigates about the conditions which the Lie-derivatives of two related associate curvature tensors become equivalent in the main space.
Abstract
This paper introduces a new concept in a specific area of mathematics called Finsler geometry. It focuses on space called "generalized fifth recurrent Finsler space." The key idea revolves around a mathematical object called the "Kulkarni-Nomizu product" that applied to two specific tensors, the Ricci tensors i.e, we obtain identities explain the Lie - derivative of Kulkarni - Nomizu product for various Ricci tensors. We apply the Lie-derivative to this product for some Ricci tensors. Further, we introduce a new relation for "M-projective curvature tensor" based on the Lie-derivative of Kulkarni-Nomizu product. Finally, this paper investigates about the conditions which the Lie-derivatives of two related associate curvature tensors become equivalent in the main space.
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- 한국전산응용수학회
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