Generalized Killing spinors in dimension 5 |
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| Authors: | Diego Conti Simon Salamon |
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| Affiliation: | Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy ; Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy |
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| Abstract: | We study the intrinsic geometry of hypersurfaces in Calabi-Yau manifolds of real dimension 6 and, more generally,  -structures on 5-manifolds defined by a generalized Killing spinor. We prove that in the real analytic case, such a 5-manifold can be isometrically embedded as a hypersurface in a Calabi-Yau manifold in a natural way. We classify nilmanifolds carrying invariant structures of this type, and present examples of the associated metrics with holonomy  . |
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