Harmonic maps and the topology of conformally compact Einstein manifolds

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We 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.
To appear in Math. Res. Lett., 16 pages

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/62802

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0112023
 http://arxiv.org/abs/math/0112023

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arXiv