2 papers
math.DG2017
Higher Dimensional Möbius Bands and Their Boundaries
Chady El Mir, Jacques Lafontaine
We give a characterisation of Bieberbach manifolds which are geodesic boundaries of a compact flat manifold, and discuss the low dimensional cases, up to dimension 4.
math.DG2009
The systolic constant of orientable Bieberbach 3-manifolds
Chady Elmir, Jacques Lafontaine
A compact manifold is called Bieberbach if it carries a flat Riemannian metric. Bieberbach manifolds are aspherical, therefore the supremum of their systolic ratio, over the set of…