Special symplectic six-manifolds

2005/12/31 by Diego Conti, Conti, Diego, Adriano Tomassini +1
Mathematics · #53C29 (Primary) 17B30 #53D05 #58A10 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:17B30 #msc:53C29 #msc:53D05 #msc:58A10

paper · pdf · doi:10.48550/arxiv.math/0601002

18 pages

arxiv created 2005/12/31 · arxiv updated 2009/12/01

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.

Related

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