Deformation of Hypercomplex Structures

Yat-Sun Poon
(UC Riverside)
<ypoon@math.ucr.edu>


Three integrable complex structures I, J and K form a hypercomplex structure if they satisfy the identities of quaternions, IJ=K and so on. We study deformations of hypercomplex structures on associated fiber bundles over quaternionic manifolds and quaternionic-Kähler manifolds. In particular, we calculate the space of deformations of hypercomplex structures on Stiefel manifolds.
Back to Spring 1997 meeting of the PNGS.

Suggestions or corrections to

Jack Lee <lee@math.washington.edu>.