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- Riemannian_geometry abstract "Elliptic geometry is also sometimes called "Riemannian geometry".Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area, and volume. From those some other global quantities can be derived by integrating local contributions. Riemannian geometry originated with the vision of Bernhard Riemann expressed in his inaugurational lecture Ueber die Hypothesen, welche der Geometrie zu Grunde liegen (On the Hypotheses which lie at the Bases of Geometry). It is a very broad and abstract generalization of the differential geometry of surfaces in R3. Development of Riemannian geometry resulted in synthesis of diverse results concerning the geometry of surfaces and the behavior of geodesics on them, with techniques that can be applied to the study of differentiable manifolds of higher dimensions. It enabled Einstein's general relativity theory, made profound impact on group theory and representation theory, as well as analysis, and spurred the development of algebraic and differential topology.".
- Riemannian_geometry thumbnail Georg_Friedrich_Bernhard_Riemann.jpeg?width=300.
- Riemannian_geometry wikiPageExternalLink index.php?title=Riemannian_geometry&oldid=11672.
- Riemannian_geometry wikiPageExternalLink Geom.
- Riemannian_geometry wikiPageID "195243".
- Riemannian_geometry wikiPageRevisionID "604882445".
- Riemannian_geometry hasPhotoCollection Riemannian_geometry.
- Riemannian_geometry title "Riemannian Geometry".
- Riemannian_geometry urlname "RiemannianGeometry".
- Riemannian_geometry subject Category:Riemannian_geometry.
- Riemannian_geometry comment "Elliptic geometry is also sometimes called "Riemannian geometry".Riemannian geometry is the branch of differential geometry that studies Riemannian manifolds, smooth manifolds with a Riemannian metric, i.e. with an inner product on the tangent space at each point that varies smoothly from point to point. This gives, in particular, local notions of angle, length of curves, surface area, and volume. From those some other global quantities can be derived by integrating local contributions.".
- Riemannian_geometry label "Geometria de Riemann".
- Riemannian_geometry label "Geometria riemanniana".
- Riemannian_geometry label "Geometría de Riemann".
- Riemannian_geometry label "Géométrie riemannienne".
- Riemannian_geometry label "Riemann-meetkunde".
- Riemannian_geometry label "Riemannian geometry".
- Riemannian_geometry label "Riemannsche Geometrie".
- Riemannian_geometry label "Риманова геометрия".
- Riemannian_geometry label "هندسة ريمانية".
- Riemannian_geometry label "リーマン幾何学".
- Riemannian_geometry label "黎曼几何".
- Riemannian_geometry sameAs Riemannova_geometrie.
- Riemannian_geometry sameAs Riemannsche_Geometrie.
- Riemannian_geometry sameAs Geometría_de_Riemann.
- Riemannian_geometry sameAs Géométrie_riemannienne.
- Riemannian_geometry sameAs Geometria_riemanniana.
- Riemannian_geometry sameAs リーマン幾何学.
- Riemannian_geometry sameAs 리만_기하학.
- Riemannian_geometry sameAs Riemann-meetkunde.
- Riemannian_geometry sameAs Geometria_de_Riemann.
- Riemannian_geometry sameAs m.01br2f.
- Riemannian_geometry sameAs Mx4rvkli55wpEbGdrcN5Y29ycA.
- Riemannian_geometry sameAs Q761383.
- Riemannian_geometry sameAs Q761383.
- Riemannian_geometry wasDerivedFrom Riemannian_geometry?oldid=604882445.
- Riemannian_geometry depiction Georg_Friedrich_Bernhard_Riemann.jpeg.
- Riemannian_geometry isPrimaryTopicOf Riemannian_geometry.
