Special symplectic six-manifolds

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We classify nilmanifolds with an invariant symplectic half-flat structure. We solve the half-flat evolution equations in one example, writing down the resulting Ricci-flat metric. We study the geometry of the orbit space of 6-manifolds with an SU(3)-structure preserved by a U(1) action, giving characterizations in the symplectic half-flat and integrable case.
18 pages

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Differential Geometry, 53C29 (Primary) 17B30, 53D05, 58A10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/107352

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601002
 http://arxiv.org/abs/math/0601002

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arXiv