Special symplectic six-manifolds

Diego Conti; Adriano Tomassini

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Special symplectic six-manifolds

Diego Conti·Adriano Tomassini

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Abstract

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.

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Diego Conti, Adriano Tomassini. 2005-12-31. Special symplectic six-manifolds. https://arxiv.org/abs/math/0601002

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