Singularities of geodesic flows and lines in pseudo-Finsler spaces. III

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.