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 $r$.
Primary Subjects: 53C10, 53D10, 53C25, 53C38
Full-text: Access granted (open access)
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.ojm/1205503561
2008 © Osaka University and Osaka City University, Departments of Mathematics
Osaka Journal of Mathematics
