Asymptotic Properties of Energy of Harmonic Maps on Asymptotically Hyperbolic Manifolds

  • Man Chun LEUNG
  • Published 1996

Abstract

Asymptotic behavior of energy of a harmonic map defined on an asymptotically hyperbolic manifold is considered. Using the growth of energy, we show that a harmonic map defined on some asymptotically hyperbolic manifolds has to be constant if the total energy is finite, or if the map approaches a point fast enough, in terms of a defining function for the… (More)

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Cite this paper

@inproceedings{LEUNG1996AsymptoticPO, title={Asymptotic Properties of Energy of Harmonic Maps on Asymptotically Hyperbolic Manifolds}, author={Man Chun LEUNG}, year={1996} }