Skip to main content
Log in

Holomorphic retracts and intrinsic metrics in convex domains

Голоморфные ретракт ы и внутренние метрик и в выпуклой области

  • Published:
Analysis Mathematica Aims and scope Submit manuscript

Abstract

Доказывается, что в вы пуклых областях вС nм етрики Каратеодори и Кобаяш и совпадают. Устанавливается свя зь между геодезическ ими этих метрик и одномерными голоморфными ретрактами.

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

Access this article

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. L. A. Aizenberg, Linear convexity inC n and the separation of singularities of holomorphic functions (Russian),Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys.,15 (1967), 487–495.

    Google Scholar 

  2. S. Kobayashi,Hyperbolic manifolds and holomorphic mappings, Dekker (New York, 1970).

    Google Scholar 

  3. L. Lempert, La métrique de Kobayashi et la représentation des domaines sur la boule,Bull. Soc. Math. France,109 (1981), 427–474.

    Google Scholar 

  4. W. Rudin,Function theory in the unit ball of C n, Springer (New York-Heidelberg-Berlin, 1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lempert, L. Holomorphic retracts and intrinsic metrics in convex domains. Analysis Mathematica 8, 257–261 (1982). https://doi.org/10.1007/BF02201775

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02201775

Keywords

Navigation