The isometry group of a compact Lorentz manifold. I

Inventiones Mathematicae

Volumn 129, Issue 2, 1997, Pages 239-261

  Adams, Scot ^a   Stuck, Garrett ^b  

^a UNIVERSITY OF MINNESOTA   (United States)

^b Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031509740     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220050163     Document Type: Article

References (11)

1. S. Adams, G. Stuck: The isometry group of a compact Lorentz manifold, II. Invent. Math., 129, 263-287 (1997)
2. L.J. Corwin, F.P. Greenleaf: Representations of nilpotent Lie groups and their applications. Part 1: Basic theory and examples. Cambridge Studies in Advanced Mathematics; 18. Cambridge University Press, 1990
3. G. D'Ambra: Isometry groups of Lorentz manifolds. Invent. Math., 92, 555-565 (1988)
4. M. Gromov: Rigid transformation groups. In D. Bernard and Y. Choquet-Bruhat, editors, Geometrie Differentielle. Hermann, Paris, 1988
5. S. Kobayashi, K. Nomizu: Foundations of Differential Geometry, Vol. 1. Interscience, New York, 1963
6. S. Kobayashi: Transformation Groups in Differential Geometry, Volume 70 of Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer, Berlin-Heidelberg-New York, 1972
7. N. Kowalsky: Actions of non-compact simple groups on Lorentz manifolds and other geometric manifolds. Thesis, University of Chicago, August 1994
8. B. O'Neill: Semi-Riemannian Geometry. Academic Press, 1983
9. A. Zeghib: The identity component of the isometry group of a compact lorentz manifold. Preprint, 1995
10. A. Zeghib: Sur les espaces-temps homogènes. Preprint, 1995
11. R.J. Zimmer: On the automorphism group of a compact Lorentz manifold and other geometric manifolds. Invent. Math., 83, 411-424 (1986)