On 3-dimensional asymptotically harmonic manifolds with minimal horospheres

Details On 3-dimensional asymptotically harmonic manifolds with minimal horospheres On 3-dimensional asymptotically harmonic manifolds with minimal horospheres

2011-08-22

arxiv.org/abs/1108.4395v1

Mathematics

Differential Geometry

5 pages

Scientific paper

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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