Generalized Calabi-Yau manifolds
Abstract
A geometrical structure on even-dimensional manifolds is defined which generalizes the notion of a Calabi-Yau manifold and also a symplectic manifold. Such structures are of either odd or even type and can be transformed by the action of both diffeomorphisms and closed 2-forms. In the special case of six dimensions we characterize them as critical points of a natural variational problem on closed forms, and prove that a local moduli space is provided by an open set in either the odd or even cohomology.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- September 2002
- DOI:
- 10.48550/arXiv.math/0209099
- arXiv:
- arXiv:math/0209099
- Bibcode:
- 2002math......9099H
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Algebraic Geometry;
- 53C15;
- 53C80;
- 53D30
- E-Print:
- 37 pages, LateX