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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 203
$G_{2(2)}^*$-Structures on pseudo-Riemannian manifolds I. Kath
We will give the definition and basic properties of nearly-parallel $G_{2(2)}^*$-structures on pseudo-Riemannian manifolds of signature (4,3). In particular we explaine the equivalence of their existence with that of Killing spinor fields. Furthermore, we will give first examples of pseudo-Riemannian manifolds of signature (4,3) with Killing spinors.
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