9 citations · 16 across the 5 of their papers we have counts for
6 papers
On the classification of Jacobi curves and their conformal curvatures
A. Bautista, A. Ibort, J. Lafuente
This paper describes the theory of Jacobi curves, a far reaching extension of the spaces of Jacobi fields along Riemannian geodesics, developed by Agrachev and Zelenko. Jacobi curv…
L-extensions and L-boundary of conformal spacetimes
A. Bautista, A. Ibort, J. Lafuente
The notion of L-boundary, a new causal boundary proposed by R. Low based on constructing a `sky at infinity' for any light ray, is discussed in detail. The analysis of the notion o…
A conformal boundary for space-times based on light-like geodesics: the 3-dimensional case
A. Bautista, A. Ibort, J. Lafuente +1
A new causal boundary, which we will term the -boundary, inspired by the geometry of the space of light rays and invariant by conformal diffeomorphisms for space-times of any di…
The sky invariant: A new conformal invariant for Schwarzschild spacetime
A. Bautista, A. Ibort, J. Lafuente
A new class of conformal invariants for a given spacetime is introduced exploiting the conformal geometry of any light ray . Each congruence of light rays passing through a…
The space of light rays: Causality and -boundary
A. Bautista, A. Ibort, J. Lafuente
The space of light rays of a conformal Lorentz manifold is, under some topological conditions, a manifold whose basic elements are unparametrized nu…
The Contact Structure in the Space of Light Rays
Alfredo Bautista, Alberto Ibort, Javier Lafuente
The natural topological, differentiable and geometrical structures on the space of light rays of a given spacetime are discussed. The relation between the causality properties of t…