Contact Calabi-Yau manifolds and special Legendrian submanifolds
Adriano Tomassini and Luigi Vezzoni
Source: Osaka J. Math. Volume 45, Number 1 (2008), 127-147.
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 $r$.
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2008 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics