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Special symplectic six-manifolds

微分几何 2007-05-23 v1

摘要

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.

关键词

引用

@article{arxiv.math/0601002,
  title  = {Special symplectic six-manifolds},
  author = {Diego Conti and Adriano Tomassini},
  journal= {arXiv preprint arXiv:math/0601002},
  year   = {2007}
}

备注

18 pages