Holomorphic self-maps of parallelizable manifolds

Jörg Winkelmann

Abstract.

We investigate holomorphic self-maps of complex manifolds of the form
$G/\Gamma$ where $G$ is a complex Lie group and $\Gamma$ a lattice.
We show that they are induced by endomorphisms of $G$ and that a surjective
holomorphic self-map can be non-bijective only in the directions of the
nilradical of $G$.