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Assist. Amany Mohamed Abdelsalam Mohamed :: Publications:

A new general Finsler connection
Authors: A Soleiman, SG Elgendi, A Abdelsalam
Year: 2020
Keywords: Barthel connection general Cartan connection general Berwlad connection general Hashiguchi connection general Chern(Rund) connection
Journal: Journal of Finsler Geometry and its Applications
Volume: Not Available
Issue: Not Available
Pages: Not Available
Publisher: University of Mohaghegh Ardabili
Local/International: International
Paper Link:
Full paper Amany Mohamed Abdelsalam Mohamed_A new general Finsler connection .pdf
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The theory of connections is an important field of research in differential geometry. It was initially developed to solve pure geometrical problems. In the Riemannian contex, M. M. Tripathi introduced a new linear connection on a Riemannian manifold, which generalizes many Riemannian connections such as symmetric, semi-symmetric, qurter-symmetric; Ricci qurter-symmetric; metric, non-metric and recurrent connections. In this paper, we extend the work of M. M. Tripath from Riemannian geometry to Finsler geometry, precisely, we investigate a new linear Finsler connection, which unifies the well known linear connections and provides new connections in Finsler geometry. This connection will be named general linear Finsler (GF-) connection. The existence and uniqueness of such a connection is proved. The curvature and torsion tensors are computed. A general reformulation for Cartan, Berwald, Chern and Hashiguchi connections is obtained. Various special cases and connections are studied and introduced. Moreover, some examples of this connection are studied.

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