Revision as of 01:48, 11 March 2015 edit Freebirth Toad (talk \| contribs) 116 edits m →The generalized tangent bundle: Changed link from 'eigenbundle' to point to a brief description on the vector bundle page ← Previous edit		Revision as of 03:45, 12 March 2015 edit undo Enyokoyama (talk \| contribs) Extended confirmed users 2,084 edits m →Courant bracket: modify the destination of "integrable" Next edit →
Line 37: ===Courant bracket=== In ordinary complex geometry, an [[almost complex structure]] is [[~~Foliation#Foliations~~Integrable ~~and integrability~~system\|integrable]] to a [[linear complex structure\|complex structure]] if and only if the [[Lie derivative\|Lie bracket]] of two sections of the [[Holomorphic function\|holomorphic]] subbundle is another section of the holomorphic subbundle. In generalized complex geometry one is not interested in vector fields, but rather in the formal sums of vector fields and one-forms. A kind of Lie bracket for such formal sums was introduced in 1990 and is called the [[Courant bracket]] which is defined by

Generalized complex structure: Difference between revisions