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May 17, 20260 citationsOpen Access

Decomposition of Fundamental Function of Finsler Space & Some Tensors by Lie-Derivative in GBK- 5RFn

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AAAdel Alqashbri

Key Points

  • The aim is to explore the decomposition of the fundamental function of Finsler space by Lie-derivative and study tensor behaviors.
  • Analyzes the decomposition in generalized fifth recurrent Finsler space for Cartan's fourth curvature tensor.
  • Investigates the behavior of decomposition tensors using covariant, contravariant, and mixed tensors.
  • The decomposition tensor φ_kh^i is shown to exhibit fifth-recurrent behavior.
  • New identities are established in generalized BK-fifth recurrent Finsler space regarding tensor decomposition.

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 Kⱼkhⁱ 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 φₖhⁱbehaves as fifth-recurrent is proved. Also, new identities are established in generalized BK- fifth recurrent Finsler space that admits tensors decomposition.

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Cite This Study

Adel Alqashbri (2026) studied this question.

synapsesocial.com/papers/6a095b3e7880e6d24efe0f18https://doi.org/10.32441/kjps.2026.10.01.p2
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