A bunch of Riemannian geometry problems on the Klein bottle.


EL MIR, Chady


In this talk, we present and discuss several problems on the Klein bottle involving the systole, i.e., the least length of a non-contractible curve. These problems include systolic, systolic-type inequalities and the kissing number of Klein bottles. If the time allows, we will also present some results concerning the first eigenvalue of the Laplacian on the Klein bottle.