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A glance at three-dimensional Alexandrov spaces - MaRDI portal

A glance at three-dimensional Alexandrov spaces (Q335544)

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scientific article; zbMATH DE number 6646990
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English
A glance at three-dimensional Alexandrov spaces
scientific article; zbMATH DE number 6646990

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    A glance at three-dimensional Alexandrov spaces (English)
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    2 November 2016
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    Alexandrov spaces are synthetic generalizations of complete Riemannian manifolds with a lower sectional curvature bound. In addition to providing a useful tool for the study of global problems in Riemannian geometry (e.g., pinching or collapse), they also constitute a class of metric spaces of intrinsic interest. In this paper, the author discusses the topology and geometry of closed Alexandrov spaces of dimension three.
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    Alexandrov space
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    length space
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    group action
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