On harmonic and asymptotically harmonic homogeneous spaces
| dc.creator | Heber, Jens | |
| dc.date | 2004-09-20 | |
| dc.date | 2005-10-04 | |
| dc.date.accessioned | 2026-07-07T06:20:49Z | |
| dc.date.available | 2026-07-07T06:20:49Z | |
| dc.description | 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. | |
| dc.description | 20 pages; final version | |
| dc.identifier | https://arxiv.org/abs/math/0409347 | |
| dc.identifier | http://arxiv.org/abs/math/0409347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95420 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C30, 53C24 | |
| dc.title | On harmonic and asymptotically harmonic homogeneous spaces | |
| dc.type | text |