Generalized Killing spinors in dimension 5

By Diego Conti, S. Salamon. 2005

125 citations recorded by the source corpus.

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 .

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/68299869fcac71e7282edf6210ec342eadfc3361

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In Applied Mathematics

In Astronomy and Astrophysics

In Geometry and Topology

Citations in the corpus

New G$_2$-holonomy cones and exotic nearly Kähler structures on $S^6$ and $S^3 \times S^3$ (2017, methodology): “ Kahler 6{manifolds, ie we concentrate on the geometry induced on (invariant) hypersurfaces. In the context of 6{manifolds with an SU(3){structure this approach has been pursued by Conti and Salamon [23] and by Fernandez et al [28] in the Calabi{Yau and nearly Kahler settings, respectively. This sec”
A class of Sasakian 5-manifolds (2008, background): “Finally, we recall that a 5-dimensional manifold is Sasakian α-Einstein if and only if it is Sasakian-hypo (see [13]).”