Nonnegatively Curved Alexandrov Spaces with Souls of Codimension Two
classification
🧮 math.DG
math.MG
keywords
alexandrovcodimensioncurvednonnegativelyadditionalapplicationassumptionscase
read the original 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, $\pi:\ A\to S$, is a submetry.
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