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- Finsler_manifold abstract "In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold together with the structure of an intrinsic quasimetric space in which the length of any rectifiable curve γ : [a,b] → M is given by the length functionalwhere F(x, · ) is a Minkowski norm (or at least an asymmetric norm) on each tangent space TxM. Finsler manifolds non-trivially generalize Riemannian manifolds in the sense that they are not necessarily infinitesimally Euclidean. This means that the (asymmetric) norm on each tangent space is not necessarily induced by an inner product (metric tensor).Élie Cartan (1933) named Finsler manifolds after Paul Finsler, who studied this geometry in his dissertation (Finsler 1918).".
- Finsler_manifold wikiPageExternalLink books?id=b2B5_IUvPJgC.
- Finsler_manifold wikiPageExternalLink finsler.blogspot.com.
- Finsler_manifold wikiPageExternalLink chern.pdf.
- Finsler_manifold wikiPageExternalLink Finsler.
- Finsler_manifold wikiPageID "385510".
- Finsler_manifold wikiPageRevisionID "594977482".
- Finsler_manifold authorlink "Élie Cartan".
- Finsler_manifold first "Élie".
- Finsler_manifold hasPhotoCollection Finsler_manifold.
- Finsler_manifold id "p/f040420".
- Finsler_manifold last "Cartan".
- Finsler_manifold title "Finsler space, generalized".
- Finsler_manifold year "1933".
- Finsler_manifold subject Category:Finsler_geometry.
- Finsler_manifold subject Category:Smooth_manifolds.
- Finsler_manifold type Artifact100021939.
- Finsler_manifold type Conduit103089014.
- Finsler_manifold type Manifold103717750.
- Finsler_manifold type Object100002684.
- Finsler_manifold type Passage103895293.
- Finsler_manifold type PhysicalEntity100001930.
- Finsler_manifold type Pipe103944672.
- Finsler_manifold type SmoothManifolds.
- Finsler_manifold type Structure104341686.
- Finsler_manifold type StructuresOnManifolds.
- Finsler_manifold type Tube104493505.
- Finsler_manifold type Way104564698.
- Finsler_manifold type Whole100003553.
- Finsler_manifold type YagoGeoEntity.
- Finsler_manifold type YagoPermanentlyLocatedEntity.
- Finsler_manifold comment "In mathematics, particularly differential geometry, a Finsler manifold is a differentiable manifold together with the structure of an intrinsic quasimetric space in which the length of any rectifiable curve γ : [a,b] → M is given by the length functionalwhere F(x, · ) is a Minkowski norm (or at least an asymmetric norm) on each tangent space TxM. Finsler manifolds non-trivially generalize Riemannian manifolds in the sense that they are not necessarily infinitesimally Euclidean.".
- Finsler_manifold label "Espace de Finsler".
- Finsler_manifold label "Finsler manifold".
- Finsler_manifold label "Finsler-Mannigfaltigkeit".
- Finsler_manifold label "Finsler-variëteit".
- Finsler_manifold label "Финслерова геометрия".
- Finsler_manifold label "芬斯勒流形".
- Finsler_manifold sameAs Finsler-Mannigfaltigkeit.
- Finsler_manifold sameAs Espace_de_Finsler.
- Finsler_manifold sameAs Finsler-variëteit.
- Finsler_manifold sameAs Variedade_de_Finsler.
- Finsler_manifold sameAs m.0223_9.
- Finsler_manifold sameAs Q2498782.
- Finsler_manifold sameAs Q2498782.
- Finsler_manifold sameAs Finsler_manifold.
- Finsler_manifold wasDerivedFrom Finsler_manifold?oldid=594977482.
- Finsler_manifold isPrimaryTopicOf Finsler_manifold.