2 papers
math.DG2010
Bavard's systolically extremal Klein bottles and three dimensional applications
Chady El Mir
A compact manifold is called Bieberbach if it carries a flat Riemannian metric. Bieberbach manifolds satisfy an isosystolic inequality by a general and fundamental result of M. Gro…
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…