Killing spinors and hypersurfaces
Differential Geometry
2024-04-19 v3
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.
Cite
@article{arxiv.2111.13202,
title = {Killing spinors and hypersurfaces},
author = {Diego Conti and Romeo Segnan Dalmasso},
journal= {arXiv preprint arXiv:2111.13202},
year = {2024}
}
Comments
22 pages, correction to the exponent of the imaginary unit in equation (12), sign correction in equation 14, other minor corrections