On 3-dimensional Asymptotically Harmonic Manifolds
Differential Geometry
2007-10-04 v1
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, provided M is asymptotically harmonic of constant h > 0.
Cite
@article{arxiv.0710.0740,
title = {On 3-dimensional Asymptotically Harmonic Manifolds},
author = {Viktor Schroeder and Hemangi Shah},
journal= {arXiv preprint arXiv:0710.0740},
year = {2007}
}
Comments
4 pages