Riemannian manifolds of dimension 7 whose skew-symmetric curvature operator has constant eigenvalues
| dc.creator | Nikolayevsky, Y. | |
| dc.date | 2003-11-25 | |
| dc.date | 2003-11-28 | |
| dc.date.accessioned | 2026-07-07T05:03:13Z | |
| dc.date.available | 2026-07-07T05:03:13Z | |
| dc.description | A Riemannian manifold is called IP, if the eigenvalues of its skew-symmetric curvature operator are pointwise constant. It was previously shown that for all n\ge 4, except n=7, any IP manifold either has constant curvature, or is a warped product, with some specific function, of a line and a space of constant curvature. We extend this result to the case n = 7, and also study 3-dimensional IP manifolds. | |
| dc.description | Corollary on p2 corrected | |
| dc.identifier | https://arxiv.org/abs/math/0311429 | |
| dc.identifier | http://arxiv.org/abs/math/0311429 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69329 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B20 | |
| dc.title | Riemannian manifolds of dimension 7 whose skew-symmetric curvature operator has constant eigenvalues | |
| dc.type | text |