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Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3

Published online by Cambridge University Press:  01 August 2008

SORIN DUMITRESCU
SORIN DUMITRESCU*
Affiliation:
Département de Mathématiques d’Orsay, Équipe de Topologie et Dynamique, Bat. 425, U.M.R. 8628 C.N.R.S., Univ. Paris-Sud (11), 91405 Orsay Cedex, France (email: [email protected])
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Résumé

Soit (M,g) une variété lorentzienne analytique réelle de dimension 3 compacte et connexe. Nous démontrons que l’existence d’une orbite ouverte (non vide) du pseudo-groupe des isométries locales implique que la métrique lorentzienne est localement homogène (i.e. le pseudo-groupe des isométries locales de g agit transitivement sur M).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 28 , Issue 4 , August 2008 , pp. 1091 - 1116
Copyright
Copyright © 2008 Cambridge University Press

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