Ask a Question

Prefer a chat interface with context about you and your work?

On the type of generalized hypercomplex structures

On the type of generalized hypercomplex structures

The generalized hypercomplex structures defined within the framework of generalized geometry include hypercomplex and holomorphic symplectic structures as particular cases. They have a $S^2$-family of generalized complex structures, and in this paper we study the types of these structures and the corresponding twistor space. We show that there are generalized …