Geodesic
Singularities of geodesic flows and lines in pseudo-Finsler spaces. III
Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 539-551

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This is a third paper in the series devoted to singularities of geodesic flows in generalized Finsler (pseudo-Finsler) spaces. In two previous papers, we defined geodesics as extremals of a certain auxiliary functional whose non-isotropic extremals coincide with extremals of the action functional, and studied generic singularities of so-defined geodesic flows in the case the pseudo-Finsler metric is given by a generic form of degree 3 on a two-dimensional manifold. In the present paper, we consider an important non-generic case: singularities of geodesic flows on two-dimensional surfaces embedded into the Berwald-Moor space of arbitrary dimension.
Mots-clés : Pseudo-Finsler spaces
Keywords: Berwald-Moor metric, geodesics, singular points, resonances, normal forms. 
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     title = {Singularities of geodesic flows and lines in {pseudo-Finsler} spaces. {III}},
     journal = {Vestnik rossijskih universitetov. Matematika},
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     year = {2017},
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     url = {http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a5/}
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A. N. Kurbatskii; N. G. Pavlova; A. O. Remizov. Singularities of geodesic flows and lines in pseudo-Finsler spaces. III. Vestnik rossijskih universitetov. Matematika, Tome 22 (2017) no. 3, pp. 539-551. http://geodesic.mathdoc.fr/item/VTAMU_2017_22_3_a5/