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- Courant_bracket abstract "In a field of mathematics known as differential geometry, the Courant bracket is a generalization of the Lie bracket from an operation on the tangent bundle to an operation on the direct sum of the tangent bundle and the vector bundle of p-forms. The case p = 1 was introduced by Theodore James Courant in his 1990 doctoral dissertation as a structure that bridges Poisson geometry and presymplectic geometry, based on work with his advisor Alan Weinstein. The twisted version of the Courant bracket was introduced in 2001 by Pavol Severa, and studied in collaboration with Weinstein. Today a complex version of the p=1 Courant bracket plays a central role in the field of generalized complex geometry, introduced by Nigel Hitchin in 2002. Closure under the Courant bracket is the integrability condition of a generalized almost complex structure.".
- Courant_bracket wikiPageExternalLink 0401221.
- Courant_bracket wikiPageID "6855275".
- Courant_bracket wikiPageRevisionID "596726643".
- Courant_bracket hasPhotoCollection Courant_bracket.
- Courant_bracket subject Category:Binary_operations.
- Courant_bracket subject Category:Differential_geometry.
- Courant_bracket type BinaryOperations.
- Courant_bracket type BooleanOperation113440935.
- Courant_bracket type DataProcessing113455487.
- Courant_bracket type Operation113524925.
- Courant_bracket type PhysicalEntity100001930.
- Courant_bracket type Process100029677.
- Courant_bracket type Processing113541167.
- Courant_bracket comment "In a field of mathematics known as differential geometry, the Courant bracket is a generalization of the Lie bracket from an operation on the tangent bundle to an operation on the direct sum of the tangent bundle and the vector bundle of p-forms. The case p = 1 was introduced by Theodore James Courant in his 1990 doctoral dissertation as a structure that bridges Poisson geometry and presymplectic geometry, based on work with his advisor Alan Weinstein.".
- Courant_bracket label "Courant bracket".
- Courant_bracket sameAs m.0gsryg.
- Courant_bracket sameAs Q5178095.
- Courant_bracket sameAs Q5178095.
- Courant_bracket sameAs Courant_bracket.
- Courant_bracket wasDerivedFrom Courant_bracket?oldid=596726643.
- Courant_bracket isPrimaryTopicOf Courant_bracket.