Curvature structure of self-dual 4-manifolds
Differential Geometry
2015-05-13 v1
Abstract
We show the existence of a modified Cliff(1,1) structure compatible with an Osserman 0-model of signature (2,2). We then apply this algebraic result to certain classes of pseudo-Riemannian manifolds of signature (2,2). We obtain a new characterization of the Weyl curvature tensor of an (anti-)self-dual manifold and we prove some new results regarding (Jordan) Osserman manifolds.
Keywords
Cite
@article{arxiv.0808.2799,
title = {Curvature structure of self-dual 4-manifolds},
author = {Novica Blazic and Peter Gilkey and Stana Nikcevic and Iva Stavrov},
journal= {arXiv preprint arXiv:0808.2799},
year = {2015}
}