Some open 3-manifolds
Appears in collection : Spin geometry and analysis on manifolds / Géométrie spinorielle et analyse sur les variétés
We present some interesting examples of dimension-3 open manifolds whose Riemannian geometry is far from being understood. This also gives us an opportunity to study several questions relating to the existence of "good" Riemannian metrics on those manifolds. Some of these examples are open sets of the 3-sphere.