15 citations · 36 across the 7 of their papers we have counts for
7 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…
Causality and skies: is non-refocussing necessary?
A. Bautista, A. Ibort, J. Lafuente
It is shown that if is a strongly causal free of naked singularities space-time, then its causal structure is completely characterized by a partial order in the space of skies…
On the space of light rays of a space-time and a reconstruction theorem by Low
A. Bautista, A. Ibort, J. Lafuente
A reconstruction theorem in terms of the topology and geometrical structures on the spaces of light rays and skies of a given space-time is discussed. This result can be seen as pa…