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- Sectional_curvature abstract "In Riemannian geometry, the sectional curvature is one of the ways to describe the curvature of Riemannian manifolds. The sectional curvature K(σp) depends on a two-dimensional plane σp in the tangent space at p. It is the Gaussian curvature of the surface which has the plane σp as a tangent plane at p, obtained from geodesics which start at p in the directions of σp (in other words, the image of σp under the exponential map at p). The sectional curvature is a smooth real-valued function on the 2-Grassmannian bundle over the manifold.The sectional curvature determines the curvature tensor completely.".
- Sectional_curvature wikiPageID "285618".
- Sectional_curvature wikiPageLength "9125".
- Sectional_curvature wikiPageOutDegree "55".
- Sectional_curvature wikiPageRevisionID "658902690".
- Sectional_curvature wikiPageWikiLink Annals_of_Mathematics.
- Sectional_curvature wikiPageWikiLink Aspherical_space.
- Sectional_curvature wikiPageWikiLink Cartan–Hadamard_theorem.
- Sectional_curvature wikiPageWikiLink Category:Curvature_(mathematics).
- Sectional_curvature wikiPageWikiLink Category:Riemannian_geometry.
- Sectional_curvature wikiPageWikiLink Comparison_theorem.
- Sectional_curvature wikiPageWikiLink Complete_metric_space.
- Sectional_curvature wikiPageWikiLink Complete_space.
- Sectional_curvature wikiPageWikiLink Covering_space.
- Sectional_curvature wikiPageWikiLink Curvature.
- Sectional_curvature wikiPageWikiLink Curvature_of_Riemannian_manifolds.
- Sectional_curvature wikiPageWikiLink Diffeomorphic.
- Sectional_curvature wikiPageWikiLink Diffeomorphism.
- Sectional_curvature wikiPageWikiLink Distance_function.
- Sectional_curvature wikiPageWikiLink Elliptic_geometry.
- Sectional_curvature wikiPageWikiLink Euclidean_geometry.
- Sectional_curvature wikiPageWikiLink Euclidean_space.
- Sectional_curvature wikiPageWikiLink Exponential_map_(Riemannian_geometry).
- Sectional_curvature wikiPageWikiLink Fiber_bundle.
- Sectional_curvature wikiPageWikiLink Fundamental_group.
- Sectional_curvature wikiPageWikiLink Gaussian_curvature.
- Sectional_curvature wikiPageWikiLink Geodesic.
- Sectional_curvature wikiPageWikiLink Glossary_of_Riemannian_and_metric_geometry.
- Sectional_curvature wikiPageWikiLink Grassmannian.
- Sectional_curvature wikiPageWikiLink Homotopy_group.
- Sectional_curvature wikiPageWikiLink Homotopy_groups.
- Sectional_curvature wikiPageWikiLink Hopf_conjecture.
- Sectional_curvature wikiPageWikiLink Hyperbolic_geometry.
- Sectional_curvature wikiPageWikiLink Hyperbolic_space.
- Sectional_curvature wikiPageWikiLink Isometry.
- Sectional_curvature wikiPageWikiLink Linear_independence.
- Sectional_curvature wikiPageWikiLink Linearly_independent.
- Sectional_curvature wikiPageWikiLink Metric_(mathematics).
- Sectional_curvature wikiPageWikiLink Myers_theorem.
- Sectional_curvature wikiPageWikiLink Myerss_theorem.
- Sectional_curvature wikiPageWikiLink N-sphere.
- Sectional_curvature wikiPageWikiLink Orthonormal.
- Sectional_curvature wikiPageWikiLink Orthonormality.
- Sectional_curvature wikiPageWikiLink Preissmans_theorem.
- Sectional_curvature wikiPageWikiLink Princeton_University_Press.
- Sectional_curvature wikiPageWikiLink Riemann_curvature_tensor.
- Sectional_curvature wikiPageWikiLink Riemannian_geometry.
- Sectional_curvature wikiPageWikiLink Riemannian_manifold.
- Sectional_curvature wikiPageWikiLink Simply_connected.
- Sectional_curvature wikiPageWikiLink Simply_connected_space.
- Sectional_curvature wikiPageWikiLink Soul_theorem.
- Sectional_curvature wikiPageWikiLink Space_form.
- Sectional_curvature wikiPageWikiLink Springer-Verlag.
- Sectional_curvature wikiPageWikiLink Springer_Science+Business_Media.
- Sectional_curvature wikiPageWikiLink Surface.
- Sectional_curvature wikiPageWikiLink Synge_theorem.
- Sectional_curvature wikiPageWikiLink Synges_theorem.
- Sectional_curvature wikiPageWikiLink Tangent_vector.
- Sectional_curvature wikiPageWikiLink Tangent_vectors.
- Sectional_curvature wikiPageWikiLink Toponogovs_theorem.
- Sectional_curvature wikiPageWikiLink Universal_cover.
- Sectional_curvature wikiPageWikiLink Élie_Cartan.
- Sectional_curvature wikiPageWikiLinkText "Sectional curvature".
- Sectional_curvature wikiPageWikiLinkText "Sectional curvature#Manifolds with constant sectional curvature".
- Sectional_curvature wikiPageWikiLinkText "curvature tensors".
- Sectional_curvature wikiPageWikiLinkText "negatively curved".
- Sectional_curvature wikiPageWikiLinkText "sectional curvature".
- Sectional_curvature hasPhotoCollection Sectional_curvature.
- Sectional_curvature wikiPageUsesTemplate Template:Citation.
- Sectional_curvature wikiPageUsesTemplate Template:Cite_arXiv.
- Sectional_curvature wikiPageUsesTemplate Template:Curvature.
- Sectional_curvature wikiPageUsesTemplate Template:Harv.
- Sectional_curvature wikiPageUsesTemplate Template:Harvnb.
- Sectional_curvature subject Category:Curvature_(mathematics).
- Sectional_curvature subject Category:Riemannian_geometry.
- Sectional_curvature hypernym Ways.
- Sectional_curvature type Article.
- Sectional_curvature type Article.
- Sectional_curvature comment "In Riemannian geometry, the sectional curvature is one of the ways to describe the curvature of Riemannian manifolds. The sectional curvature K(σp) depends on a two-dimensional plane σp in the tangent space at p. It is the Gaussian curvature of the surface which has the plane σp as a tangent plane at p, obtained from geodesics which start at p in the directions of σp (in other words, the image of σp under the exponential map at p).".
- Sectional_curvature label "Sectional curvature".
- Sectional_curvature sameAs Schnittkrümmung.
- Sectional_curvature sameAs Curvatura_sezionale.
- Sectional_curvature sameAs 断面曲率.
- Sectional_curvature sameAs Sectiekromming.
- Sectional_curvature sameAs m.01pzql.
- Sectional_curvature sameAs Секційна_кривина.
- Sectional_curvature sameAs Q855622.
- Sectional_curvature sameAs Q855622.
- Sectional_curvature sameAs 截面曲率.
- Sectional_curvature wasDerivedFrom Sectional_curvature?oldid=658902690.
- Sectional_curvature isPrimaryTopicOf Sectional_curvature.