Lie bracket of vector fields
In the mathematical field of differential topology, the Lie bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields X and Y on a smooth manifold M a third vector field denoted [X, Y]. Conceptually, the Lie bracket [X, Y] is the derivative of Y along the flow generated by X, and is sometimes denoted ("Lie derivative of Y along X"). This generalizes to the Lie derivative of any tensor field along the flow generated by X.
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Lie bracket of vector fields
In the mathematical field of differential topology, the Lie bracket of vector fields, also known as the Jacobi–Lie bracket or the commutator of vector fields, is an operator that assigns to any two vector fields X and Y on a smooth manifold M a third vector field denoted [X, Y]. Conceptually, the Lie bracket [X, Y] is the derivative of Y along the flow generated by X, and is sometimes denoted ("Lie derivative of Y along X"). This generalizes to the Lie derivative of any tensor field along the flow generated by X.
has abstract
En topología diferencial, dado ...... cuperamos el corchete de Lie .
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In the mathematical field of d ...... of nonlinear control systems.
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Lieova závorka je operátor, kt ...... pole [X, Y], takové že platí:
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В диференціальній геометрії ду ...... ї і диференціальній топології.
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向量場中的李括號，於微分拓樸的數學領域下，稱為Jacobi– ...... 為非線性控制幾何理論基礎的弗罗贝尼乌斯定理中就可看到李括號。
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date
December 2017
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yes
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id
p/l058550
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title
Lie bracket
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En topología diferencial, dado ...... cuperamos el corchete de Lie .
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In the mathematical field of d ...... along the flow generated by X.
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Lieova závorka je operátor, kt ...... me: Lieova derivace Y podél X.
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В диференціальній геометрії ду ...... скінченновимірною алгеброю Лі.
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向量場中的李括號，於微分拓樸的數學領域下，稱為Jacobi– ...... 為非線性控制幾何理論基礎的弗罗贝尼乌斯定理中就可看到李括號。
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Corchete de Lie (campos de vectores)
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Lie bracket of vector fields
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Lieova závorka
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Дужка Лі векторних полів
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李氏括号
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