Archiv der Mathematik

, Volume 90, Issue 3, pp 275-278

First online:

On 3-dimensional asymptotically harmonic manifolds

  • Viktor SchroederAffiliated withInstitut für Mathematik, Universität Zürich Email author 
  • , Hemangi ShahAffiliated withSchool of Mathematics, Tata Institute of Fundamental Research

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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 \(\frac{-h^{2}}{4}\), provided M is asymptotically harmonic of constant h > 0.

Mathematics Subject Classification (2000).

Primary 53C35 Secondary 53C25


Asymptotic harmonic manifold horospheres