Nonnegatively Curved Alexandrov Spaces with Souls of Codimension Two
Abstract
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, π:\ A S, is a submetry.
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