Affine transformations and parallel lightlike vector fields on compact Lorentzian $3$-manifolds
Language
en
Article de revue
This item was published in
Transactions of the American Mathematical Society. 2016, vol. 368, n° 3, p. 2223-2262
American Mathematical Society
English Abstract
We describe the compact Lorentzian $3$-manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian $3$-manifolds admitting non-isometric affine diffeomorphisms follows, together with the ...Read more >
We describe the compact Lorentzian $3$-manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian $3$-manifolds admitting non-isometric affine diffeomorphisms follows, together with the complete description of these morphisms. Such a Lorentzian manifold is in some sense an equivariant deformation of a flat one.Read less <
English Keywords
parallel vector field
affine map
holonomy
Lorentzian manifold
Origin
Hal imported