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Biharmonic maps into a Riemannian manifold of non-positive curvature

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Author

Summary, in English

We study biharmonic maps between Riemannian manifolds with finite energy and finite bi-energy. We show that if the domain is complete and the target of non-positive curvature, then such a map is harmonic. We then give applications to isometric immersions and horizontally conformal submersions.

Department/s

Publishing year

2014

Language

English

Pages

263-272

Publication/Series

Geometriae Dedicata

Volume

169

Document type

Journal article

Publisher

Springer

Topic

  • Geometry

Keywords

  • Harmonic map
  • Biharmonic map
  • Chen’s conjecture
  • Generalized Chen’s conjecture
  • Primary 58E20
  • Secondary 53C43

Status

Published

Research group

  • Differential Geometry

ISBN/ISSN/Other

  • ISSN: 0046-5755