Generalized complex structure: Difference between revisions

Revision as of 17:03, 22 May 2013

Revision as of 17:04, 22 May 2013

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where <math>\mathcal{L}_X</math> is the [[Lie derivative]] along the vector field ''X'', ''d'' is the [[exterior derivative]] and ''i'' is the [[Exterior algebra#The interior product or insertion operator|interior product]].

Unlike the Lie bracket, the Courant bracket does not satisfy the [[Jacobi identity]]. However, its restriction to isotropic subbundles satisfies the Jacobi identity.

===The definition===