Chinese Science Bulletin

, Volume 43, Issue 21, pp 1780–1786 | Cite as

Harmonic maps with potential from complete manifolds

  • Qun Chen


Harmonic maps with potential from complete manifolds are considered. This is a new kind of maps more general than the usual harmonic maps relating to many interesting problems such as equilibrium system of ferromagnetic spin chain and Neumann motion. Aiming at the general properties, the author derives basic gradient estimates and then Liouville type results for these maps, which are interesting in constrast to those of the usual harmonic maps for the presence of potentials.


harmonic maps potential ferromagnetic chain gradient estimate 


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Copyright information

© Science in China Press 1998

Authors and Affiliations

  • Qun Chen
    • 1
    • 2
  1. 1.Mathematics DepartmentCentral China Normal UniversityWuhanChina
  2. 2.Institute of MathematicsFudan UniversityShanghaiChina

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