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}
}