Abstract.
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 \(\frac{-h^{2}}{4}\), provided M is asymptotically harmonic of constant h > 0.
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Supported by Swiss National Science Foundation.
The author thanks Forschungsinstitut für Mathematik, ETH Zürich for its hospitality and support.
Received: 4 October 2007
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Schroeder, V., Shah, H. On 3-dimensional asymptotically harmonic manifolds. Arch. Math. 90, 275–278 (2008). https://doi.org/10.1007/s00013-008-2611-2
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DOI: https://doi.org/10.1007/s00013-008-2611-2