Plasma Physics Reports.
Vol. 45.
2019.
This is the final paper in a series devoted to generic singularities of geodesic flows for two-dimensional pseudo-Riemannian metrics of changing signature and metrics induced from the Euclidean metric of the ambient space on surfaces with a cuspidal edge. We study the local phase portraits and the properties of geodesics at degenerate points of a certain type. This completes the list of singularities in codimensions 1 and 2. © 2019 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd.