Affine transformations and parallel lightlike vector fields on compact Lorentzian 3-manifolds
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- by Charles Boubel and Pierre Mounoud PDF
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Abstract:
We describe the compact Lorentzian $3$-manifolds admitting a parallel lightlike vector field. The classification of compact Lorentzian $3$-manifolds admitting nonisometric 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.References
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Additional Information
- Charles Boubel
- Affiliation: Institut de Recherche Mathématique Avancée, UMR 7501, Université de Strasbourg et CNRS, 7 rue René Descartes, 67084 Strasbourg Cedex, France
- MR Author ID: 684179
- Email: charles.boubel@unistra.fr
- Pierre Mounoud
- Affiliation: Institut de Mathématiques de Bordeaux, UMR 5251, Université de Bordeaux et CNRS, 351, cours de la libération, F-33405 Talence, France
- MR Author ID: 681800
- Email: pierre.mounoud@math.u-bordeaux1.fr
- Received by editor(s): April 17, 2014
- Received by editor(s) in revised form: November 24, 2014
- Published electronically: July 10, 2015
- © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 368 (2016), 2223-2262
- MSC (2010): Primary 53C29, 53C50
- DOI: https://doi.org/10.1090/tran/6645
- MathSciNet review: 3449238