Complex IP curvature tensors
| dc.creator | Gilkey, Peter | |
| dc.creator | Ivanova, Raina | |
| dc.date | 2002-05-08 | |
| dc.date.accessioned | 2026-07-07T04:48:20Z | |
| dc.date.available | 2026-07-07T04:48:20Z | |
| dc.description | Let M be a pseudo-Riemannian manifold with a pseudo-Hermitian complex structure $J$. We give necessary and sufficient conditions that the curvature operator $R(π)$ is complex linear when $π$ is a $J$ invariant real 2 plane. Under this assumption, we study when M is complex IP - i.e. the spectrum, or more generally the Jordan normal form, of $R(π)$ is constant on the Grassmannian of complex spacelike or timelike lines. Methods from algebraic topology are used to obtain restrictions on the spectrum of a complex IP algebraic curvature tensor. | |
| dc.identifier | https://arxiv.org/abs/math/0205078 | |
| dc.identifier | http://arxiv.org/abs/math/0205078 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64009 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53B30 | |
| dc.title | Complex IP curvature tensors | |
| dc.type | text |