Contact Calabi-Yau manifolds and Special Legendrian submanifolds
Differential Geometry
2014-05-26 v2
Abstract
We consider a generalization of Calabi-Yau structures in the context of -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 .
Keywords
Cite
@article{arxiv.math/0612232,
title = {Contact Calabi-Yau manifolds and Special Legendrian submanifolds},
author = {Adriano Tomassini and Luigi Vezzoni},
journal= {arXiv preprint arXiv:math/0612232},
year = {2014}
}
Comments
16 pages, no figures. Final version to appear in "Osaka J. Math."