A brief survey on singularities of geodesic flows in smooth signature changing metrics on 2-surfaces

DOI10.1007/978-3-319-73639-6_4zbMath1405.53116arXiv1801.09815OpenAlexW2785795304MaRDI QIDQ1710494

N. G. Pavlova, Alexey O. Remizov

Publication date: 22 January 2019

Full work available at URL: https://arxiv.org/abs/1801.09815

zbMATH Keywords

singular pointsgeodesicsnormal formspseudo-Riemannian metrics

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Geodesics in global differential geometry (53C22) Geodesic flows in symplectic geometry and contact geometry (53D25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (3)

Local analytic classification for quasi-linear implicit differential systems at transversal singular points ⋮ Singularities of quasi-linear differential equations ⋮ Completion of the classification of generic singularities of geodesic flows in two classes of metrics

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