Rafał Lutowski

collaborators

3 papers

math.AT2023

Complex Vasquez invariant

Anna Gąsior, Rafał Lutowski

In 1970 Vasquez proved that to every finite group $G$ we can assign a natural number $n (G)$ with the property that every flat manifold with holonomy $G$ is a total space of a fiber…

math.GR2023

Minimal non-solvable Bieberbach groups

Rafał Lutowski, Andrzej Szczepański

It has been shown by several authors that there exists a non-solvable Bieberbach group of dimension $15$ . In this note we show that this is in fact a minimal dimension for such kin…

math.DG2022

Spin-structures on real Bott manifolds with Kähler structure

Anna Gąsior, Rafał Lutowski

Let $M$ be a real Bott manifold with Kähler structure. Using Ishida characterization \cite{I11} we give necessary and sufficient condition for the existence of the spin-structure o…