Harmonic maps and the topology of conformally compact Einstein manifolds

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dc.creatorLeung, Naichung Conan
dc.creatorWan, Tom Yau-heng
dc.date2001-12-03
dc.date.accessioned2026-07-07T04:44:57Z
dc.date.available2026-07-07T04:44:57Z
dc.descriptionWe study the topology of a complete asymptotically hyperbolic Einstein manifold such that its conformal boundary has positive Yamabe invariant. We proved that all maps from such manifold into any nonpositively curved manifold are homotopically trivial. Our proof is based on a Bochner type argument on harmonic maps.
dc.descriptionTo appear in Math. Res. Lett., 16 pages
dc.identifierhttps://arxiv.org/abs/math/0112023
dc.identifierhttp://arxiv.org/abs/math/0112023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62802
dc.subjectDifferential Geometry
dc.titleHarmonic maps and the topology of conformally compact Einstein manifolds
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