From Hypercomplex to Holomorphic Symplectic Structures
arXiv:1302.2857 · doi:10.1016/j.geomphys.2015.06.008
Abstract
The notions of holomorphic symplectic structures and hypercomplex structures on Courant algebroids are introduced and then proved to be equivalent. These generalize hypercomplex triples and holomorphic symplectic 2-forms on manifolds respectively. Basic properties of such structures are established.