Royden Decomposition for Harmonic Maps with Finite Total Energy

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Abstract

We prove the harmonic map version of the Royden decomposition in the sense that given any bounded C1-map f with finite total energy on a complete Riemannian manifold into a Cartan-Hadamard manifold, there exists a unique bounded harmonic map with finite total energy from the manifold into the Cartan-Hadamard manifold taking the same boundary value at each harmonic boundary point as that of f.

Original languageEnglish
Pages (from-to)687-692
Number of pages6
JournalResults in Mathematics
Volume71
Issue number3-4
DOIs
StatePublished - 1 Jun 2017

Keywords

  • 53C43
  • 58E20
  • harmonic boundary
  • Harmonic map
  • Royden decomposition

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