Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2
| dc.creator | Gilkey, Peter | |
| dc.creator | Zhang, Tan | |
| dc.date | 2002-05-08 | |
| dc.date.accessioned | 2026-07-07T04:48:21Z | |
| dc.date.available | 2026-07-07T04:48:21Z | |
| dc.description | Let R be an algebraic curvature tensor for a non-degenerate inner product of signature(p,q) where q>4. If $π$ is a spacelike 2 plane, let $R(π)$ be the associated skew-symmetric curvature operator. We classify the algebraic curvature tensors so R(-) has constant rank 2 and show these are geometrically realizable by hypersurfaces in flat spaces. We also classify the Ivanov-Petrova algebraic curvature tensors of rank 2; these are the algebraic curvature tensors of constant rank 2 such that the complex Jordan normal form of R(-) is constant. | |
| dc.identifier | https://arxiv.org/abs/math/0205080 | |
| dc.identifier | http://arxiv.org/abs/math/0205080 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64011 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B20 | |
| dc.title | Algebraic curvature tensors whose skew-symmetric curvature operator has constant rank 2 | |
| dc.type | text |