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- Variational_vector_field abstract "In the mathematical fields of the calculus of variations and differential geometry, the variational vector field is a certain type of vector field defined on the tangent bundle of a differentiable manifold which gives rise to variations along a vector field in the manifold itself.Specifically, let X be a vector field on M. Then X generates a one-parameter group of local diffeomorphisms FlXt, the flow along X. The differential of FlXt gives, for each t, a mappingwhere TM denotes the tangent bundle of M. This is a one-parameter group of local diffeomorphisms of the tangent bundle. The variational vector field of X, denoted by T(X) is the tangent to the flow of d FlXt.".
- Variational_vector_field wikiPageID "15537009".
- Variational_vector_field wikiPageRevisionID "597641776".
- Variational_vector_field hasPhotoCollection Variational_vector_field.
- Variational_vector_field subject Category:Calculus_of_variations.
- Variational_vector_field comment "In the mathematical fields of the calculus of variations and differential geometry, the variational vector field is a certain type of vector field defined on the tangent bundle of a differentiable manifold which gives rise to variations along a vector field in the manifold itself.Specifically, let X be a vector field on M. Then X generates a one-parameter group of local diffeomorphisms FlXt, the flow along X.".
- Variational_vector_field label "Variational vector field".
- Variational_vector_field sameAs m.03mdjsx.
- Variational_vector_field sameAs Q7915803.
- Variational_vector_field sameAs Q7915803.
- Variational_vector_field wasDerivedFrom Variational_vector_field?oldid=597641776.
- Variational_vector_field isPrimaryTopicOf Variational_vector_field.