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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“The question is still asked of women: “How do you propose to answer the need for child care?” That is an obvious attempt to *structure* conflict in the old terms. The questions are rather: “If we as a human community want children, how does the total society propose to provide for them?””

—Jean Baker Miller (20th century)

“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.”

—H.L. (Henry Lewis)

“We must open our eyes and see that modern civilization has become so *complex* and the lives of civilized men so interwoven with the lives of other men in other countries as to make it impossible to be in this world and out of it.”

—Franklin D. Roosevelt (1882–1945)