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Sfb288 logo 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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