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math.DG2024
Introduction to Lorentzian and Flat Affine Geometry of
Alberto Medina, Andres Villabon
The goal of this paper is to study the geometry of the connected unit component of the real general linear Lie group dimensional as a Lorentzian and flat affine manifold.…
math.DG2019
Flat Affine Manifolds And Their Transformations
A. Medina, O. Saldarriaga, A. Villabon
We give a characterization of flat affine connections on manifolds by means of a natural affine representation of the universal covering of the Lie group of diffeomorphisms preserv…