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publication name Generalized beta-conformal change of Finsler metrics. ArXiv Number: 0906.5369 [math.DG].
Authors Nabil L. Youssef, S. H. Abed and S. G. Elgendi,
year 2010
keywords Generalized $beta$-conformal change, $beta$-conformal change, $beta$- change, conformal change, Randers change, Berwald space, Landesberg space, Locally Minkowskian space.
journal Int. J. Geom. Meth. Mod. Phys.
volume 7 (4)
issue Not Available
pages 565–582
publisher Not Available
Local/International International
Paper Link http://www.worldscientific.com/doi/abs/10.1142/S0219887810004440?journalCode=ijgmmp
Full paper download
Supplementary materials Not Available
Abstract

In this paper, we introduce and investigate a general transformation or change of Finsler metrics, which is referred to as a generalized $beta$-conformal change: $$L(x,y) longrightarrowoverline{L}(x,y) = f(e^{sigma(x)}L(x,y),beta(x,y)).$$ This transformation combines both $beta$-change and conformal change in a general setting. The change, under this transformation, of the fundamental Finsler connections, together with their associated geometric objects, are obtained. Some invariants and various special Finsler spaces are investigated under this change. The most important changes of Finsler metrics existing in the literature are deduced from the generalized $beta$-conformal change as special cases.

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