Conformally Osserman manifolds
| dc.creator | Nikolayevsky, Yuri | |
| dc.date | 2008-10-31 | |
| dc.date.accessioned | 2026-07-07T10:14:32Z | |
| dc.date.available | 2026-07-07T10:14:32Z | |
| dc.description | An algebraic curvature tensor is called Osserman if the eigenvalues of the associated Jacobi operator are constant on the unit sphere. A Riemannian manifold is called conformally Osserman if its Weyl conformal curvature tensor at every point is Osserman. We prove that a conformally Osserman manifold of dimension $n \ne 3, 4, 16$ is locally conformally equivalent either to a Euclidean space or to a rank-one symmetric space. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/0810.5621 | |
| dc.identifier | http://arxiv.org/abs/0810.5621 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172913 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B20 | |
| dc.title | Conformally Osserman manifolds | |
| dc.type | text |