Skip to main content
SpringerLink
Log in

Normal families and the semicontinuity of isometry and automorphism groups

  • Published:
Mathematische Zeitschrift Aims and scope Submit manuscript

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

  1. Dieudonné, J.: Treatise on Analysis, vol. III. New York: Academic Press 1972

    Google Scholar 

  2. Ebin, D.: The manifold of Riemannian metrics. Proceedings of Symposia in Pure Mathematics, vol. XV (Global Analysis), A.M.S. 11–40 (1970)

    Google Scholar 

  3. Eisenman, D.: Intrinsic Measures on Complex Manifolds and Holomorphic Mappings. Memoirs of the A.M.S., vol. 96, Providence 1970

  4. Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–65 (1974)

    Google Scholar 

  5. Greene, R.E., Krantz, S.G.: Deformations of complex structures, estimates for the\(\bar \partial \) equation, and stability of the Bergman kernel. Adv. Math.43, 1–86 (1982)

    Google Scholar 

  6. Greene, R.E., Krantz, S.G.: The automorphism groups of strongly pseudoconvex domains. Math. Ann.261, 425–446 (1982)

    Google Scholar 

  7. Greene, R.E., Krantz, S.G.: The stability of the Caratheodory and Kobayashi metrics and applications to biholomorphic mappings. Proceedings of Symposia in Pure Math. Providence: A.M.S. vol. 41, 77–94

  8. Grove, K., Karcher, H.: How to conjugateC 1-close group actions. Math. Z.132, 11–20 (1973)

    Google Scholar 

  9. Henkin, G.M.: An analytic polyhedron is not holomorphically equivalent to strictly pseudoconvex domain (Russian). Dokl. Acad. Nauk. USSR210, 1026–1029 (1973)

    Google Scholar 

  10. Hirsch, M.: Differential Topology. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  11. Kobayashi, S., Nomizu, K.: Foundations of Differential Geometry, vol. I and II. New York: Interscience Publishers 1963.

    Google Scholar 

  12. Ligocka, E.: Lecture. Mathematische Forschungsinstitut Oberwolfach 1979

  13. Montgomery, D., Zippin, L.: Topological Transformation Groups. New York: Interscience Publishers 1955

    Google Scholar 

  14. Myers, S., Steenrod, N.: The group of isometries of a Riemannian manifold. Ann. Math.40, 400–416 (1939)

    Google Scholar 

  15. Narasimhan, R.: Several Complex Variables. Chicago: Chicago University Press 1971

    Google Scholar 

  16. Rosay, J.P.: Sur une characterization de la ball parmi les domains de ℂn par son groupe d'automorphismes. Ann. Inst. Fourier29, 91–97 (1979)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of California, 90024, Los Angeles, CA, USA

    Robert E. Greene

  2. Department of Mathematics, The Pennsylvanis State University, Collage of Science, 16802, University Park, PA, USA

    Steven G. Krantz

Authors
  1. Robert E. Greene
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Steven G. Krantz
    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

Greene, R.E., Krantz, S.G. Normal families and the semicontinuity of isometry and automorphism groups. Math Z 190, 455–467 (1985). https://doi.org/10.1007/BF01214745

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01214745

Keywords

Search

Navigation