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- W2950151809 abstract "Many classical facts in Riemannian geometry have their pseudo-Riemannian analogs. For instance, the spaces of space-like and time-like geodesics on a pseudo-Riemannian manifold have natural symplectic structures (just like in the Riemannian case), while the space of light-like geodesics has a natural contact structure. We discuss the geometry of these structures in detail, as well as introduce and study pseudo-Euclidean billiards. In particular, we prove pseudo-Euclidean analogs of the Jacobi-Chasles theorems and show the integrability of the billiard in the ellipsoid and the geodesic flow on the ellipsoid in a pseudo-Euclidean space." @default.
- W2950151809 created "2019-06-27" @default.
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- W2950151809 date "2006-08-24" @default.
- W2950151809 modified "2023-10-16" @default.
- W2950151809 title "Pseudo-Riemannian geodesics and billiards" @default.
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- W2950151809 doi "https://doi.org/10.48550/arxiv.math/0608620" @default.
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