Curvature structure of self-dual 4-manifolds

Details Curvature structure of self-dual 4-manifolds Curvature structure of self-dual 4-manifolds

2008-08-20

arxiv.org/abs/0808.2799v1

Mathematics

Differential Geometry

Scientific paper

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.

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