Flat manifolds with homogeneous holonomy representation

Abstract

We show that a rational holonomy representation of any flat manifold except torus must have at least two non-equivalent irreducible subrepresentations. As an application we show that if a Kähler flat manifold is not a torus then its holonomy representation is reducible.

Cited by in corpus (2)

• Flat manifolds and reducibility
• Subspace foliations and collapse of closed flat manifolds