Generalized CalabiYau manifolds
Abstract
A geometrical structure on evendimensional manifolds is defined which generalizes the notion of a CalabiYau 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 2forms. 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 eprints
 Pub Date:
 September 2002
 arXiv:
 arXiv:math/0209099
 Bibcode:
 2002math......9099H
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Algebraic Geometry;
 53C15;
 53C80;
 53D30
 EPrint:
 37 pages, LateX