15 citations · 46 across the 9 of their papers we have counts for
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math.DG2025
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…
math.DG2015★ 4 cited
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…
math.DG2006★ 6 cited
On the Conformal Geometry of Transverse Riemann-Lorentz Manifolds
E. Aguirre, V. Fernández, J. Lafuente
Physical reasons suggested in \cite{Ha-Ha} for the \emph{Quantum Gravity Problem} lead us to study \emph{type-changing metrics} on a manifold. The most interesting cases are \emph{…