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- Sharafutdinov's_retraction abstract "In mathematics, Sharafutdinov's retraction is a construction that gives a retraction of an open non-negatively curved Riemannian manifold onto its soul.It was first used by Sharafutdinov to show that any two souls of a complete Riemannian manifold with non-negative sectional curvature are isometric. Perelman later showed that in this setting, Sharafutdinov's retraction is in fact a submersion, thereby essentially settling the soul conjecture.For open non-negatively Alexandrov space, Perelman also showed that there exists a Sharafutdinov retraction from the entire space to the soul. However it is not know yet whether this retraction is submetry or not.".
- Sharafutdinov's_retraction wikiPageID "26780045".
- Sharafutdinov's_retraction wikiPageRevisionID "545877791".
- Sharafutdinov's_retraction hasPhotoCollection Sharafutdinov's_retraction.
- Sharafutdinov's_retraction subject Category:Riemannian_geometry.
- Sharafutdinov's_retraction comment "In mathematics, Sharafutdinov's retraction is a construction that gives a retraction of an open non-negatively curved Riemannian manifold onto its soul.It was first used by Sharafutdinov to show that any two souls of a complete Riemannian manifold with non-negative sectional curvature are isometric.".
- Sharafutdinov's_retraction label "Sharafutdinov's retraction".
- Sharafutdinov's_retraction label "Ретракция Шарафутдинова".
- Sharafutdinov's_retraction sameAs m.0bmhyrd.
- Sharafutdinov's_retraction sameAs Q4393711.
- Sharafutdinov's_retraction sameAs Q4393711.
- Sharafutdinov's_retraction wasDerivedFrom Sharafutdinov's_retraction?oldid=545877791.
- Sharafutdinov's_retraction isPrimaryTopicOf Sharafutdinov's_retraction.