We classify nilmanifolds with an invariant symplectic half-flat structure. We study the transverse or quotient geometry of six-manifolds with an SU(3)-structure preserved by a Killing vector field, giving characterizations in the symplectic half-flat and integrable case
Conti, D., & Tomassini, A. (2007). Special symplectic six-manifolds. QUARTERLY JOURNAL OF MATHEMATICS, 58(3), 297-311 [10.1093/qmath/ham013].
Special symplectic six-manifolds
CONTI, DIEGO;
2007
Abstract
We classify nilmanifolds with an invariant symplectic half-flat structure. We study the transverse or quotient geometry of six-manifolds with an SU(3)-structure preserved by a Killing vector field, giving characterizations in the symplectic half-flat and integrable case
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