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, Volume 28, Issue 1–3, pp 269–291 | Cite as

Uniqueness and stability of harmonic maps and their Jacobi fields

  • Willi Jäger
  • Helmut Kaul


Let M, N be Riemannian manifolds and let f1, f2: M→N be harmonic maps. Using a maximum principle, an estimate of the distances of these maps by the distances of their boundary values will be proved. Corresponding estimates will be stated for the norm of Jacobi fields along harmonic maps, and for the distances of solutions of the heat equation.


Riemannian Manifold Maximum Principle Number Theory Heat Equation Algebraic Geometry 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Willi Jäger
    • 1
  • Helmut Kaul
    • 2
  1. 1.Institut für Angewandte MathematikHeidelbergGermany
  2. 2.Mathematisches InstitutTübingenGermany

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