A **generalized complex structure** is a generalized almost complex structure whose sections are closed under the Courant bracket.

Read more about Generalized Complex Structure: Canonical Bundle, Relation To G-structures

### Other articles related to "generalized complex structure, generalized, structure, complex structures, complex structure":

**Generalized Complex Structure**- Relation To G-structures - Calabi-Yau Versus Calabi-Yau Metric

... Notice that a

**generalized**Calabi metric

**structure**, which was introduced by Gualtieri, is a stronger condition than a

**generalized**Calabi-Yau

**structure**, which was introduced by Hitchin ... In particular a

**generalized**Calabi-Yau metric

**structure**implies the existence of two commuting

**generalized**almost

**complex structures**...

... Nigel Hitchin introduced the notion of a

**generalized**almost

**complex structure**on the manifold M, which was elaborated in the doctoral dissertations of his students Marco Gualtieri and Gil Cavalcanti ... An ordinary almost

**complex structure**is a choice of a half-dimensional subspace of each fiber of the complexified tangent bundle TM ... A

**generalized**almost

**complex structure**is a choice of a half-dimensional isotropic subspace of each fiber of the direct sum of the complexified tangent and cotangent bundles ...

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“What is the *structure* of government that will best guard against the precipitate counsels and factious combinations for unjust purposes, without a sacrifice of the fundamental principle of republicanism?”

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“One is conscious of no brave and noble earnestness in it, of no *generalized* passion for intellectual and spiritual adventure, of no organized determination to think things out. What is there is a highly self-conscious and insipid correctness, a bloodless respectability submergence of matter in manner—in brief, what is there is the feeble, uninspiring quality of German painting and English music.”

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“Specialization is a feature of every *complex* organization, be it social or natural, a school system, garden, book, or mammalian body.”

—Catharine R. Stimpson (b. 1936)