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Asymptotic properties of energy of harmonic maps on asymptotically hyperbolic manifolds

Man Chun Leung
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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 boundary.

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BibTeXRIS

Man Chun Leung. 1996-10-30. Asymptotic properties of energy of harmonic maps on asymptotically hyperbolic manifolds. https://arxiv.org/abs/dg-ga/9610020

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