×

zbMATH — the first resource for mathematics

Generalized Calabi-Yau manifolds. (English) Zbl 1076.32019
The author introduces on even dimensional manifolds the notions of generalized complex and of generalized Calabi-Yau structures. The definitions are based on ideas from spinor theory. The class of generalized Calabi-Yau manifolds contains not only Calabi-Yau but also symplectic manifolds. After some basic results these structures are used to study variational and moduli problems in six dimensions.

MSC:
32Q25 Calabi-Yau theory (complex-analytic aspects)
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
53C56 Other complex differential geometry
53C29 Issues of holonomy in differential geometry
PDF BibTeX XML Cite
Full Text: DOI arXiv