Asymptotic properties of energy of harmonic maps on asymptotically hyperbolic manifolds

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dc.creatorLeung, Man Chun
dc.date1996-10-30
dc.date.accessioned2026-07-07T09:12:54Z
dc.date.available2026-07-07T09:12:54Z
dc.descriptionAsymptotic 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.
dc.descriptionLaTeX, 17 pages
dc.identifierhttps://arxiv.org/abs/dg-ga/9610020
dc.identifierhttp://arxiv.org/abs/dg-ga/9610020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152178
dc.subjectDifferential Geometry
dc.subject58E20 (Primary) 58G03 (Secondary)
dc.titleAsymptotic properties of energy of harmonic maps on asymptotically hyperbolic manifolds
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