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arxiv: 0710.0740 · v1 · submitted 2007-10-03 · 🧮 math.DG

On 3-dimensional Asymptotically Harmonic Manifolds

classification 🧮 math.DG
keywords asymptoticallyconstantharmonicmanifoldcompleteconjugateconnectedcurvature
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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.

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