Revision as of 05:31, 10 October 2013 edit Enyokoyama (talk \| contribs) Extended confirmed users 2,084 edits m →Darboux theorem: redirect to Darboux's theorem ← Previous edit		Revision as of 09:01, 12 October 2013 edit undo Enyokoyama (talk \| contribs) Extended confirmed users 2,084 edits →Integrability and other structures Next edit →
Line 93: If a pure spinor that determines a particular complex structure is [[Closed and exact differential forms\|closed]], or more generally if its exterior derivative is equal to the action of a gamma matrix on itself, then the almost complex structure is integrable and so such pure spinors correspond to generalized complex structures. If one further imposes that the canonical bundle is holomorphically trivial, meaning that it is global sections which are closed forms, then it defines a [[generalized Calabi-Yau structure]] and ''M'' is said to be a '''generalized Calabi-Yau manifold'''. ==Local classification==

Generalized complex structure: Difference between revisions