Contact Calabi-Yau manifolds and Special Legendrian submanifolds

Details Contact Calabi-Yau manifolds and Special Legendrian submanifolds Contact Calabi-Yau manifolds and Special Legendrian submanifolds

2006-12-09

arxiv.org/abs/math/0612232v2

Mathematics

Differential Geometry

16 pages, no figures. Final version to appear in "Osaka J. Math."

Scientific paper

We consider a generalization of Calabi-Yau structures in the context of
$\alpha$-Sasakian manifolds. We study deformations of a special class of
Legendrian submanifolds and classify invariant contact Calabi-Yau structures on
5-dimensional nilmanifolds. Finally we generalize to codimension $r$.

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