30 citations · 36 across the 7 of their papers we have counts for
9 papers
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…
New Characterization of Flat Affine Manifolds and the Associative Envelope of a Left Symmetric Algebra
Alberto Medina, Omar Saldarriaga, Andres Villabón
This paper deals with affine connections on real manifolds. We give a new characterization of flat affine connections on real manifolds by means of certain affine representations o…
Flat Affine or Projective Geometries on Lie Groups
Alberto Medina, Omar Saldarriaga, Hernan Giraldo
This paper deals essentially with affine or projective transformations of Lie groups endowed with a flat left invariant affine or projective structure. These groups are called flat…
Lattices in some Symplectic or Affine Nilpotent Lie groups
Alberto Medina, Philippe Revoy
The main aim of this paper is the description of a large class of lattices in some nilpotent Lie groups, sometimes filiformes, carrying a flat left invariant linear connection anf…
Left invariant semi Riemannian metrics on quadratic Lie groups
Shirley Bromberg, Alberto Medina
To determine the Lie groups that admit a flat (eventually complete) left invariant semi-Riemannian metric is an open and difficult problem. The main aim of this paper is the study…
Structure of Symplectic Lie groups and momentum map
Alberto Medina
We describe the structure of the Lie groups endowed with a left-invariant symplectic form, called symplectic Lie groups, in terms of semi-direct products of Lie groups, symplectic…