Skip to main content
SpringerLink
Log in

Jordan Homomorphisms and Harmonic Mappings

  • Published:
Monatshefte für Mathematik Aims and scope Submit manuscript

Abstract.

 We show that each Jordan homomorphism R → R′ of rings gives rise to a harmonic mapping of one connected component of the projective line over R into the projective line over R′. If there is more than one connected component then this mapping can be extended in various ways to a harmonic mapping which is defined on the entire projective line over R.

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

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Universität Hamburg, Germany, , , , , , DE

    Andrea Blunck

  2. Technische Universität Wien, Austria, , , , , , AT

    Hans Havlicek

Authors
  1. Andrea Blunck
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hans Havlicek
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received December 7, 2001; in revised form April 28, 2002 Published online January 7, 2003

Rights and permissions

Reprints and permissions

About this article

Cite this article

Blunck, A., Havlicek, H. Jordan Homomorphisms and Harmonic Mappings. Monatsh. Math. 139, 111–127 (2003). https://doi.org/10.1007/s00605-002-0509-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00605-002-0509-9

Search

Navigation