A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces (Q2430819)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces |
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A quadrangle comparison theorem and its application to soul theory for Alexandrov spaces (English)
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8 April 2011
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The authors derive two sufficient conditions for a complete finite-dimensional Alexandrov space of nonnegative curvature to be contractible. One of the new technical tools used in the proof is a quadrangle comparison theorem inspired by Perelman.
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Alexandrov space with nonnegative curvature
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soul theory
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quadrangle comparison theorem
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