On 3-dimensional Asymptotically Harmonic Manifolds

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Let (M,g) be a complete, simply connected Riemannian manifold of dimension 3 without conjugate points. We show that M is a hyperbolic manifold of constant sectional curvature, provided M is asymptotically harmonic of constant h > 0.
4 pages

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Differential Geometry, 53C20

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http://salesiana.dossiersoluciones.com/handle/123456789/139228

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.0740
 http://arxiv.org/abs/0710.0740

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arXiv