Nonnegatively Curved Alexandrov Spaces with Souls of Codimension Two

Xueping Li

Published 2013-01-07Version 1

In this paper, we study a complete noncompact nonnegatively curved Alexandrov space $A$ with a soul $S$ of codimension two. We establish some structural results under additional regularity assumptions. As an application, we conclude that in this case Sharafutdinov retraction, $\pi:\ A\to S$, is a submetry.