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Darboux theorem for generalized complex structures on transitive Courant algebroids
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math.DG
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complexstructurescourantgeneralizedalgebroidsdarbouxtheoremtransitive
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Under natural assumptions we find local normal forms for generalized complex structures on transitive Courant algebroids, which extend Gualtieri's Darboux theorem for generalized complex structures on manifolds. When the base of the Courant algebroid is a point, they reduce to Wang's description of invariant complex structures on compact semisimple Lie groups.
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