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- Hilbert's_theorem_(differential_geometry) abstract "In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface of constant negative gaussian curvature immersed in . This theorem answers the question for the negative case of which surfaces in can be obtained by isometrically immersing complete manifolds with constant curvature. Hilbert's theorem was first treated by David Hilbert in, "Über Flächen von konstanter Krümmung" (Trans. Amer. Math. Soc. 2 (1901), 87-99). A different proof was given shortly after by E. Holmgren, "Sur les surfaces à courbure constante negative," (1902).".
- Hilbert's_theorem_(differential_geometry) wikiPageID "11720315".
- Hilbert's_theorem_(differential_geometry) wikiPageRevisionID "544834469".
- Hilbert's_theorem_(differential_geometry) hasPhotoCollection Hilbert's_theorem_(differential_geometry).
- Hilbert's_theorem_(differential_geometry) subject Category:Articles_containing_proofs.
- Hilbert's_theorem_(differential_geometry) subject Category:Hyperbolic_geometry.
- Hilbert's_theorem_(differential_geometry) subject Category:Theorems_in_differential_geometry.
- Hilbert's_theorem_(differential_geometry) type Abstraction100002137.
- Hilbert's_theorem_(differential_geometry) type Communication100033020.
- Hilbert's_theorem_(differential_geometry) type Message106598915.
- Hilbert's_theorem_(differential_geometry) type Proposition106750804.
- Hilbert's_theorem_(differential_geometry) type Statement106722453.
- Hilbert's_theorem_(differential_geometry) type Theorem106752293.
- Hilbert's_theorem_(differential_geometry) type TheoremsInDifferentialGeometry.
- Hilbert's_theorem_(differential_geometry) type TheoremsInGeometry.
- Hilbert's_theorem_(differential_geometry) comment "In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface of constant negative gaussian curvature immersed in . This theorem answers the question for the negative case of which surfaces in can be obtained by isometrically immersing complete manifolds with constant curvature. Hilbert's theorem was first treated by David Hilbert in, "Über Flächen von konstanter Krümmung" (Trans. Amer. Math. Soc. 2 (1901), 87-99).".
- Hilbert's_theorem_(differential_geometry) label "Hilbert's theorem (differential geometry)".
- Hilbert's_theorem_(differential_geometry) label "Stelling van Hilbert".
- Hilbert's_theorem_(differential_geometry) label "Teorema di Hilbert".
- Hilbert's_theorem_(differential_geometry) sameAs Teorema_di_Hilbert.
- Hilbert's_theorem_(differential_geometry) sameAs Stelling_van_Hilbert.
- Hilbert's_theorem_(differential_geometry) sameAs m.02rq18g.
- Hilbert's_theorem_(differential_geometry) sameAs Q2008549.
- Hilbert's_theorem_(differential_geometry) sameAs Q2008549.
- Hilbert's_theorem_(differential_geometry) sameAs Hilbert's_theorem_(differential_geometry).
- Hilbert's_theorem_(differential_geometry) wasDerivedFrom Hilbert's_theorem_(differential_geometry)?oldid=544834469.
- Hilbert's_theorem_(differential_geometry) isPrimaryTopicOf Hilbert's_theorem_(differential_geometry).