7 papers
On the foundations and applications of Lorentz-Finsler Geometry
Miguel Sánchez
Finslerian extensions of Special and General Relativity -- commonly referred to as Very Special and Very General Relativity -- necessitate the development of a unified Lorentz-Fins…
Lorentzian Cheeger-Gromov convergence and temporal functions
Saúl Burgos, José L. Flores, Miguel Sánchez
Uniqueness (up to isometries) and existence of limits are studied in the context of Cheeger-Gromov convergence of spacetimes. To address the non-compactness of the linear isometry…
Finslerian lightconvex boundaries: applications to causal simplicity and the space of cone geodesics
Jónatan Herrera, Miguel Sánchez
Our outcome is structured in the following sequence: (1) a general result for indefinite Finslerian manifolds with boundary showing the equivalence between local and infini…
The ladder of Finsler-type objects and their variational problems on spacetimes
Miguel Sánchez, Fidel F. Villaseñor
The space of anisotropic -contravariant -covariant -homogeneous tensors on a manifold admits a functorial structure where vertical derivatives and contrac…
Towards certification: A complete statistical validation pipeline for supervised learning in industry
Lucas Lacasa, Abel Pardo, Pablo Arbelo +8
Methods of Machine and Deep Learning are gradually being integrated into industrial operations, albeit at different speeds for different types of industries. The aerospace and aero…
A Gauss-Bonnet-Chern type obstruction for Killing vector fields on Lorentzian manifolds
Alfonso Romero, Miguel Sánchez
A new curvature obstruction to the existence of a timelike (resp. causal) Killing or homothetic vector field on an even-dimensional (odd-dimensional) Lorentzian manifold, in te…
Confronting the Lippmann-Schwinger equation and the method for coupled-wave separable potentials
M. S. Sánchez, J. A. Oller, D. R. Entem
We study a family of separable potentials with and without added contact interactions by solving the associated Lippmann-Schwinger equation with two coupled partial waves. The matc…