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- Non-positive_curvature abstract "In mathematics, spaces of non-positive curvature occur in many contexts and form a generalization of hyperbolic geometry. In the category of Riemannian manifolds, one can consider the sectional curvature of the manifold and require that this curvature be everywhere less than or equal to zero. The notion of curvature extends to the category of geodesic metric spaces, where one can use comparison triangles to quantify the curvature of a space; in this context, non-positively curved spaces are known as (locally) CAT(0) spaces.".
- Non-positive_curvature wikiPageID "12989803".
- Non-positive_curvature wikiPageLength "1785".
- Non-positive_curvature wikiPageOutDegree "12".
- Non-positive_curvature wikiPageRevisionID "618874000".
- Non-positive_curvature wikiPageWikiLink Category:Curvature_(mathematics).
- Non-positive_curvature wikiPageWikiLink Category:Hyperbolic_geometry.
- Non-positive_curvature wikiPageWikiLink Category:Metric_geometry.
- Non-positive_curvature wikiPageWikiLink Category_(mathematics).
- Non-positive_curvature wikiPageWikiLink Comparison_triangle.
- Non-positive_curvature wikiPageWikiLink Glossary_of_Riemannian_and_metric_geometry.
- Non-positive_curvature wikiPageWikiLink Hadamard_space.
- Non-positive_curvature wikiPageWikiLink Hyperbolic_geometry.
- Non-positive_curvature wikiPageWikiLink Margulis_lemma.
- Non-positive_curvature wikiPageWikiLink Mathematics.
- Non-positive_curvature wikiPageWikiLink Riemannian_manifold.
- Non-positive_curvature wikiPageWikiLink Sectional_curvature.
- Non-positive_curvature wikiPageWikiLinkText "Non-positive curvature".
- Non-positive_curvature wikiPageWikiLinkText "non-positive curvature".
- Non-positive_curvature wikiPageWikiLinkText "non-positive curved".
- Non-positive_curvature wikiPageUsesTemplate Template:Cite_book.
- Non-positive_curvature wikiPageUsesTemplate Template:Geometry-stub.
- Non-positive_curvature wikiPageUsesTemplate Template:MathSciNet.
- Non-positive_curvature subject Category:Curvature_(mathematics).
- Non-positive_curvature subject Category:Hyperbolic_geometry.
- Non-positive_curvature subject Category:Metric_geometry.
- Non-positive_curvature type Surface.
- Non-positive_curvature comment "In mathematics, spaces of non-positive curvature occur in many contexts and form a generalization of hyperbolic geometry. In the category of Riemannian manifolds, one can consider the sectional curvature of the manifold and require that this curvature be everywhere less than or equal to zero.".
- Non-positive_curvature label "Non-positive curvature".
- Non-positive_curvature sameAs Q7048980.
- Non-positive_curvature sameAs m.02z2gwg.
- Non-positive_curvature sameAs Q7048980.
- Non-positive_curvature wasDerivedFrom Non-positive_curvature?oldid=618874000.
- Non-positive_curvature isPrimaryTopicOf Non-positive_curvature.