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- Frobenius_theorem_(differential_topology) abstract "In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an underdetermined system of first-order homogeneous linear partial differential equations. In modern geometric terms, the theorem gives necessary and sufficient conditions for the existence of a foliation by maximal integral manifolds each of whose tangent bundles are spanned by a given family of vector fields (satisfying an integrability condition) in much the same way as an integral curve may be assigned to a single vector field. The theorem is foundational in differential topology and calculus on manifolds.".
- Frobenius_theorem_(differential_topology) wikiPageID "602480".
- Frobenius_theorem_(differential_topology) wikiPageRevisionID "599328196".
- Frobenius_theorem_(differential_topology) hasPhotoCollection Frobenius_theorem_(differential_topology).
- Frobenius_theorem_(differential_topology) subject Category:Differential_systems.
- Frobenius_theorem_(differential_topology) subject Category:Foliations.
- Frobenius_theorem_(differential_topology) subject Category:Theorems_in_differential_geometry.
- Frobenius_theorem_(differential_topology) subject Category:Theorems_in_differential_topology.
- Frobenius_theorem_(differential_topology) type Abstraction100002137.
- Frobenius_theorem_(differential_topology) type Communication100033020.
- Frobenius_theorem_(differential_topology) type Message106598915.
- Frobenius_theorem_(differential_topology) type Proposition106750804.
- Frobenius_theorem_(differential_topology) type Statement106722453.
- Frobenius_theorem_(differential_topology) type Theorem106752293.
- Frobenius_theorem_(differential_topology) type TheoremsInDifferentialGeometry.
- Frobenius_theorem_(differential_topology) type TheoremsInDifferentialTopology.
- Frobenius_theorem_(differential_topology) comment "In mathematics, Frobenius' theorem gives necessary and sufficient conditions for finding a maximal set of independent solutions of an underdetermined system of first-order homogeneous linear partial differential equations.".
- Frobenius_theorem_(differential_topology) label "Frobenius theorem (differential topology)".
- Frobenius_theorem_(differential_topology) label "Satz von Frobenius (Differentialtopologie)".
- Frobenius_theorem_(differential_topology) label "Théorème de Frobenius (géométrie différentielle)".
- Frobenius_theorem_(differential_topology) label "弗罗贝尼乌斯定理".
- Frobenius_theorem_(differential_topology) sameAs Satz_von_Frobenius_(Differentialtopologie).
- Frobenius_theorem_(differential_topology) sameAs Théorème_de_Frobenius_(géométrie_différentielle).
- Frobenius_theorem_(differential_topology) sameAs m.02vgtz.
- Frobenius_theorem_(differential_topology) sameAs Q837551.
- Frobenius_theorem_(differential_topology) sameAs Q837551.
- Frobenius_theorem_(differential_topology) sameAs Frobenius_theorem_(differential_topology).
- Frobenius_theorem_(differential_topology) wasDerivedFrom Frobenius_theorem_(differential_topology)?oldid=599328196.
- Frobenius_theorem_(differential_topology) isPrimaryTopicOf Frobenius_theorem_(differential_topology).