Deformations of hypercomplex structures related to Heisenberg groups

Gueo Grantcharov, Henrik Pedersen, Yat Sun Poon

Let $X$ be a compact quotient of the product of the real Heisenberg group $H_{4m+1}$ of dimension $4m+1$ and the 3-dimensional real Euclidean space $\bR^3$. A left invariant hyperc…