1. Killing spinors and hypersurfaces.
- Author
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Conti, Diego and Segnan Dalmasso, Romeo
- Subjects
- *
CAUCHY problem , *SPINORS , *HYPERSURFACES , *GEOMETRY , *EQUATIONS - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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