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arXiv · 1301.1238

Nonnegatively Curved Alexandrov Spaces with Souls of Codimension Two

Xueping Li
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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, $π:\ A\to S$, is a submetry.

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Xueping Li. 2013-01-07. Nonnegatively Curved Alexandrov Spaces with Souls of Codimension Two. https://arxiv.org/abs/1301.1238

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