Skip to main content
SpringerLink
Log in

Biholomorphic invariants on relative homology groups

  • Conference paper
  • First Online:
Analytic Functions Błażejewko 1982

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1039))

  • 464 Accesses

Abstract

The first part of the paper gives an extension of Krasiński's results on biholomorphic invariants related to homology groups [4,5], in the sense of applying instead of the usual homology groups the relative homology groups. Besides we give some biholomorphic invariants on complex manifolds which in particular cases reduce to the semi-norms of Chern, Levine, Nirenberg [3] and of Krasiński [4,5].

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. ACCOLA, R.D.M.: Differentials and extremal length on Riemann, surfaces, Proc. Nat. Acad. Sci. USA 46 (1960), pp. 540–543.

    Article  MathSciNet  MATH  Google Scholar 

  2. AHLFORS, L.V. and L. SARIO: Riemann surfaces, Princeton University Press, Princeton 1960.

    MATH  Google Scholar 

  3. CHERN, S.S., H.I. LEVINE and L. NIRENBERG: Intrinsic norms on complex manifolds, Global Analysis, Papers in honor of K.Kodaira, ed. by D.C. Spencer and S. Iynaga, Univ. of Tokyo Press and Princeton Univ. Press, Tokyo 1969, pp. 119–139.

    Google Scholar 

  4. KRASIŃSKI, T.: Semi-norms on homology groups of complex manifolds, Proc. of the International Conference of Complex Analysis and Applications, Varna 1981 (in print).

    Google Scholar 

  5. —: On biholomorphic invariants related to homology groups, these Prodeedings, pp.

    Google Scholar 

  6. KRÓLIKOWSKI, W.: Semi-norms and topologies on relative homology groups, to appear.

    Google Scholar 

  7. RHAM, G. de: Variétés différentiables. Formes, courants, formes harmoniques, 2-ème èd., Hermann, Paris 1960.

    MATH  Google Scholar 

  8. STOLL, W.: Value distribution of holomorphic maps into compact complex manifolds (Lecture Notes in Mathematics 135), Springer-Verlag, Berlin-Heidelberg-New York 1970.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Kilińskiego 86, PL-90-012, Łódź, Poland

    Wiesław Królikowski

Authors
  1. Wiesław Królikowski
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics of the Polish Academy of Sciences, Łódź Branch, Narutowicza 56, 90-136, Łódź, Poland

    Julian Ławrynowicz

Rights and permissions

Reprints and permissions

Copyright information

© 1983 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Królikowski, W. (1983). Biholomorphic invariants on relative homology groups. In: Ławrynowicz, J. (eds) Analytic Functions Błażejewko 1982. Lecture Notes in Mathematics, vol 1039. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0073372

Download citation

  • DOI: https://doi.org/10.1007/BFb0073372

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12712-3

  • Online ISBN: 978-3-540-38697-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation