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arXiv · 1505.06671

Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics

A. O. Remizov·F. Tari
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Abstract

We consider a pseudo-Riemannian metric that changes signature along a smooth curve on a surface, called the discriminant curve. The discriminant curve separates the surface locally into a Riemannian and a Lorentzian domain. We study the local behaviour and properties of geodesics at a point on the discriminant where the isotropic direction is tangent to the discriminant curve.

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A. O. Remizov, F. Tari. 2015-05-25. Singularities of the geodesic flow on surfaces with pseudo-Riemannian metrics. https://doi.org/10.1007/s10711-016-0172-2

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