Iterated circle bundles and infranilmanifolds

Abstract

We give short proofs of the following two facts: Iterated principal circle bundles are precisely the nilmanifolds. Every iterated circle bundle is almost flat, and hence diffeomorphic to an infranilmanifold.

4 pages

Cited by in corpus (2)

• A New Proof of the Gromov's Theorem on Almost Flat Manifolds
• Counter-Examples to a generalised Toral Rank Conjecture