On the geometry at infinity of the universal covering of $Sl(2, \mathbb {R})$

Marcos Salvai

Displaying similar documents to “On the geometry at infinity of the universal covering of $S l (2, ℝ)$ ”

Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature.

Ernesto A. Lacomba, J. Guadalupe Reyes (1998)

Publicacions Matemàtiques

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We extend here results for escapes in any given direction of the configuration space of a mechanical system with a non singular bounded at infinity homogeneus potential of degree -1, when the energy is positive. We use geometrical methods for analyzing the parallel and asymptotic escapes of this type of systems. By using Riemannian geometry methods we prove under suitable conditions on the potential that all the orbits escaping in a given direction are asymptotically parallel among themselves....

Lorentzian geometry in the large

John Beem (1997)

Banach Center Publications

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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...

Erratum for "Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature".

Ernesto A. Lacomba, J. Guadalupe Reyes (2000)

Publicacions Matemàtiques

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A mistake was found in the reasoning leading to a Lagrangian which we considered as equivalent from the formula for the action S(γ) below the classical mechanical problem (3) on "Non singular Hamiltonian systems and geodesic flows on surfaces with negative curvature", page 271.