Document Zbl 1076.32019

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Generalized Calabi-Yau manifolds. (English) Zbl 1076.32019

Q. J. Math. 54, No. 3, 281-308 (2003).

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.

Reviewer: Christian Günther (Libby)

Cited in 22 Reviews

Cited in 480 Documents

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

Keywords:

Calabi-Yau; generalized complex structures

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