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manuscripta mathematica

, Volume 62, Issue 2, pp 249–256 | Cite as

New examples of harmonic diffeomorphisms of the hyperbolic plane onto itself

  • Hyeong In Choi
  • Andrejs Treibergs
Article

Abstract

A one parameter family of new examples of harmonic maps of the hyperbolic plane onto itself is constructed by studying the Gauss map of certain spacelike constant mean curvature surfaces in three dimensional Minkowski Space. These surfaces are obtained as surfaces of revolution. Explicit construction of the conformal diffeomorphism of the hyperbolic plane onto such surfaces gives a complete description of the boundary behavior of the harmonic maps.

Keywords

Number Theory Algebraic Geometry Curvature Surface Topological Group Minkowski Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • Hyeong In Choi
    • 1
    • 2
  • Andrejs Treibergs
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of IowaIowa City
  2. 2.Department of MathematicsUniversity of UtahSalt Lake City

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