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- Chow–Rashevskii_theorem abstract "In sub-Riemannian geometry, the Chow–Rashevskii theorem (also known as Chow's theorem) asserts that any two points of a connected sub-Riemannian manifold are connected by a horizontal path in the manifold. It is named after Wei-Liang Chow who proved it in 1939, and Petr Konstanovich Rashevskii, who proved it independently in 1938.The theorem has a number of equivalent statements, one of which is that the topology induced by the Carnot–Carathéodory metric is equivalent to the intrinsic (locally Euclidean) topology of the manifold. A stronger statement that implies the theorem is the ball–box theorem. See, for instance, Montgomery (2006) and Gromov (1996).".
- Chow–Rashevskii_theorem wikiPageID "38344104".
- Chow–Rashevskii_theorem wikiPageLength "1956".
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- Chow–Rashevskii_theorem wikiPageRevisionID "656461249".
- Chow–Rashevskii_theorem wikiPageWikiLink Ball–box_theorem.
- Chow–Rashevskii_theorem wikiPageWikiLink Carnot–Carathéodory_metric.
- Chow–Rashevskii_theorem wikiPageWikiLink Category:Metric_geometry.
- Chow–Rashevskii_theorem wikiPageWikiLink Category:Theorems_in_geometry.
- Chow–Rashevskii_theorem wikiPageWikiLink Mathematische_Annalen.
- Chow–Rashevskii_theorem wikiPageWikiLink Petr_Konstanovich_Rashevskii.
- Chow–Rashevskii_theorem wikiPageWikiLink Sub-Riemannian_geometry.
- Chow–Rashevskii_theorem wikiPageWikiLink Sub-Riemannian_manifold.
- Chow–Rashevskii_theorem wikiPageWikiLink Topology.
- Chow–Rashevskii_theorem wikiPageWikiLink Wei-Liang_Chow.
- Chow–Rashevskii_theorem wikiPageWikiLinkText "Chow–Rashevskii theorem".
- Chow–Rashevskii_theorem hasPhotoCollection Chow–Rashevskii_theorem.
- Chow–Rashevskii_theorem wikiPageUsesTemplate Template:Citation.
- Chow–Rashevskii_theorem wikiPageUsesTemplate Template:Geometry-stub.
- Chow–Rashevskii_theorem wikiPageUsesTemplate Template:Harvtxt.
- Chow–Rashevskii_theorem subject Category:Metric_geometry.
- Chow–Rashevskii_theorem subject Category:Theorems_in_geometry.
- Chow–Rashevskii_theorem comment "In sub-Riemannian geometry, the Chow–Rashevskii theorem (also known as Chow's theorem) asserts that any two points of a connected sub-Riemannian manifold are connected by a horizontal path in the manifold.".
- Chow–Rashevskii_theorem label "Chow–Rashevskii theorem".
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- Chow–Rashevskii_theorem sameAs Q5105585.
- Chow–Rashevskii_theorem wasDerivedFrom Chow–Rashevskii_theorem?oldid=656461249.
- Chow–Rashevskii_theorem isPrimaryTopicOf Chow–Rashevskii_theorem.