Construction of examples of b-completion

Abstract

We survey some techniques for constructing b-completions. First, we give general results relating the b-completion of a product to the b-completion of its factors, the b-completion of a quotient, and the dependence of the b-completion on the bundle chosen to form it. Second, we relate (when possible) some b-completions to those of Riemannian metrics, and study invariant connections on homogenous spaces. Some particular examples are also considered.