Generalized complex structure: Difference between revisions

Revision as of 09:01, 12 October 2013

Revision as of 22:10, 20 January 2014

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Finally, a generalized almost Calabi-Yau metric structure is a further reduction of the structure group to SU(''n'')<math>\times</math>SU(''n'').

===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.