Equilibrium maps between metric spaces

  • Jürgen Jost
Article
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Abstract

We show the existence of harmonic mappings with values in possibly singular and not necessarily locally compact complete metric length spaces of nonpositive curvature in the sense of Alexandrov. As a technical tool, we show that any bounded sequence in such a space has a subsequence whose mean values converge. We also give a general definition of harmonic maps between metric spaces based on mean value properties andΓ-convergence.

Mathematics subject classification

58E20 
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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • Jürgen Jost
    • 1
  1. 1.Fakultät für MathematikRuhr-Universität BochumBochumGermany

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