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arXiv · 2111.13202

Killing spinors and hypersurfaces

Diego Conti·Romeo Segnan Dalmasso
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Abstract

We consider spin manifolds with an Einstein metric, either Riemannian or indefinite, for which there exists a Killing spinor. We describe the intrinsic geometry of nondegenerate hypersurfaces in terms of a PDE satisfied by a pair of induced spinors, akin to the generalized Killing spinor equation. Conversely, we prove an embedding result for real analytic pseudo-Riemannian manifolds carrying a pair of spinors satisfying this condition.

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Diego Conti, Romeo Segnan Dalmasso. 2021-11-25. Killing spinors and hypersurfaces. https://doi.org/10.1142/s0129167x24500356

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