Hypercomplex structures on Courant algebroids

Details Hypercomplex structures on Courant algebroids Hypercomplex structures on Courant algebroids

2009-02-06

arxiv.org/abs/0902.1003v2

C. R. Acad. Sci. Paris, Ser. I 347 (2009), 545-550

Mathematics

Differential Geometry

5 pages, v2: abstract and references updated

Scientific paper

10.1016/j.crma.2009.02.020

Hypercomplex structures on Courant algebroids unify holomorphic symplectic structures and usual hypercomplex structures. In this note, we prove the equivalence of two characterizations of hypercomplex structures on Courant algebroids, one in terms of Nijenhuis concomitants and the other in terms of (almost) torsionfree connections for which each of the three complex structures is parallel.

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