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- Title
Generalized Calabi–Yau Manifolds.
- Authors
HITCHIN, NIGEL
- 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 both of 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.
- Subjects
CALABI-Yau manifolds; DIFFEOMORPHISMS; HOMOLOGY theory; ALGEBRAIC topology; DIFFERENTIAL geometry
- Publication
Quarterly Journal of Mathematics, 2003, Vol 54, Issue 3, p281
- ISSN
0033-5606
- Publication type
Article
- DOI
10.1093/qmath/hag025