Geodesic
On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach
Communications in Mathematics, Tome 27 (2019) no. 1, pp. 51-68
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In the paper we characterize the two-dimensional generalized Berwald manifolds in terms of the classical setting of Finsler surfaces (Berwald frame, main scalar etc.). As an application we prove that if a Landsberg surface is a generalized Berwald manifold then it must be a Berwald manifold. Especially, we reproduce Wagner's original result in honor of the 75th anniversary of publishing his pioneering work about generalized Berwald manifolds.
In the paper we characterize the two-dimensional generalized Berwald manifolds in terms of the classical setting of Finsler surfaces (Berwald frame, main scalar etc.). As an application we prove that if a Landsberg surface is a generalized Berwald manifold then it must be a Berwald manifold. Especially, we reproduce Wagner's original result in honor of the 75th anniversary of publishing his pioneering work about generalized Berwald manifolds.
Classification : 53C60, 58B20
Keywords: Finsler spaces; Generalized Berwalds spaces; Intrinsic Geometry 
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Vincze, Csaba; Khoshdani, Tahere Reza; Gilani, Sareh Mehdi Zadeh; Oláh, Márk. On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach. Communications in Mathematics, Tome 27 (2019) no. 1, pp. 51-68. http://geodesic.mathdoc.fr/item/COMIM_2019_27_1_a4/

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