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arxiv: 1108.4395 · v2 · pith:WUBAG2GEnew · submitted 2011-08-22 · 🧮 math.DG

On 3-dimensional asymptotically harmonic manifolds with minimal horospheres

classification 🧮 math.DG
keywords asymptoticallyharmonicmanifoldcompleteconjugateconnectedconstantdimension
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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 flat manifold, provided $M$ is asymptotically harmonic of constant $h = 0$.

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