Integrability of B_n-generalized almost complex/pseudo-Hermitian structures on odd exact Courant algebroids is equivalent to existence of adapted generalized connections, with the affine spaces of such connections described.
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Integrability of generalized structures on odd exact Courant algebroids using generalized connections
Integrability of B_n-generalized almost complex/pseudo-Hermitian structures on odd exact Courant algebroids is equivalent to existence of adapted generalized connections, with the affine spaces of such connections described.