Skip to main content
SpringerLink
Log in

Isometry groups of Lorentz manifolds

  • Published:
Inventiones mathematicae Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  • [G] Gromov, M.: Rigid transformations groups. Proceedings of the Symposium “Géométrie et physique” (dedicated to A. Lichnerowicz) Paris: Ed. Herman, 1987)

    Google Scholar 

  • [K] Kobayashi, S.: Transformation groups in differential geometry. (Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 70) Berlin-Heidelberg-New York: Springer 1972

    Google Scholar 

  • [L-F] Lelong-Ferrand, J.: Transformations conformes et quasi conformes des variétés riemanniences compactes. Mem. Cl. Sci. Collect. Octavo, II. Ser., Acad. R. Belg.XXXIX, 1–44 (1971)

    Google Scholar 

  • [LO] Lojasiewicz, S.: Ensembles semianalitiques. Publ. Math., Inst. Hautes Etud. Sci. (1964)

  • [M] Mumford, D.: Hilbert's 14th problem — the finite generation of subrings such as rings of invariants. A.M.S. Proc. Symp. Pure Math.28, 431–443 (1976)

    Google Scholar 

  • [N] Nomizu, K.: On local and global existence of Killing vector fields. Ann. Math.72 (1), 105–112 (1970)

    Google Scholar 

  • [O] Obata, M.: Conformal transformations of riemannian manifolds. J. Differ. Geom.4, 311–333 (1970)

    Google Scholar 

  • [R] Rosenlicht, M.: A remark on quotient spaces. An. Acad. Bras. Cienc.35(4), pp. 483–489 (1963)

    Google Scholar 

  • [Z1] Zimmer, R.J.: On the automorphism group of a compact Lorentz manifold and other geometric manifolds. Invent. Math.83, 411–424 (1986)

    Google Scholar 

  • [Z2] Zimmer, R.J.: Ergodic theory and semisimple groups. Boston: Birkhäuser 1984

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Universita degli studi di Cagliari, Via Ospedale 72, I-09100, Cagliari, Italy

    G. D'Ambra

Authors
  1. G. D'Ambra
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

D'Ambra, G. Isometry groups of Lorentz manifolds. Invent Math 92, 555–565 (1988). https://doi.org/10.1007/BF01393747

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01393747

Keywords

Search

Navigation