On harmonic and asymptotically harmonic homogeneous spaces
微分几何
2007-05-23 v2
摘要
We classify noncompact homogeneous spaces which are Einstein and asymptotically harmonic. This completes the classification of Riemannian harmonic spaces in the homogeneous case: Any simply connected homogeneous harmonic space is flat, or rank-one symmetric, or a nonsymmetric Damek-Ricci space. Independently, Y. Nikolayevsky has obtained the latter classification under the additional assumption of nonpositive sectional curvatures.
引用
@article{arxiv.math/0409347,
title = {On harmonic and asymptotically harmonic homogeneous spaces},
author = {Jens Heber},
journal= {arXiv preprint arXiv:math/0409347},
year = {2007}
}
备注
20 pages; final version