Lie Bracket of Vector Fields
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High Quality Content by WIKIPEDIA articles! In the mathematical field of differential topology, the Lie bracket of vector fields, Jacobi Lie bracket, or Commutator of vector fields is a bilinear differential operator which assigns, to any two vector fields X and Y on a smooth manifold M, a third vector field denoted [X, Y].For a matrix Lie group, smooth vector fields can be locally represented in the corresponding Lie algebra. Since the Lie algebra associated with a Lie group is isomorphic to the group's tangent space at the identity, elements of the Lie algebra of a matrix Lie group are also matrices.The Jacobi Lie bracket is essential to proving small-time local controllability (STLC) for driftless affine control systems.
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GarantieWeitere Informationen
- Allgemeine Informationen
- GTIN 09786131252174
- Editor Lambert M. Surhone, Mariam T. Tennoe, Susan F. Henssonow
- EAN 9786131252174
- Format Fachbuch
- Titel Lie Bracket of Vector Fields
- Herausgeber Betascript Publishing
- Anzahl Seiten 72
- Genre Mathematik
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