In mathematics, the Frölicher–Nijenhuis bracket is an extension of the Lie bracket of vector fields to vector-valued differential forms on a differentiable manifold. It is useful in the study of connections, notably the Ehresmann connection, as well as in the more general study of projections in the tangent bundle. It was introduced by Alfred Frölicher and Albert Nijenhuis (1956) and is related to the work of Schouten (1940).

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  • In mathematics, the Frölicher–Nijenhuis bracket is an extension of the Lie bracket of vector fields to vector-valued differential forms on a differentiable manifold. It is useful in the study of connections, notably the Ehresmann connection, as well as in the more general study of projections in the tangent bundle. It was introduced by Alfred Frölicher and Albert Nijenhuis (1956) and is related to the work of Schouten (1940). It is related to but not the same as the Nijenhuis–Richardson bracket and the Schouten–Nijenhuis bracket.
  • 在数学中，Frölicher–Nijenhuis括号（Frölicher–Nijenhuis bracket）是光滑流形上向量场的李括号到向量值微分形式的推广。它在研究联络，特别是埃雷斯曼联络，以及更一般的研究切丛的投影中很有用。此括号由 Alfred Frölicher 与 Albert Nijenhuis 于1956年引入，与斯豪滕1940年的工作有联系。 它与 Nijenhuis–Richardson括号和 Schouten–Nijenhuis括号相关但不是一回事。
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  • P. W. Michor
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  • F/f120230
dbpprop:title
  • Frölicher–Nijenhuis bracket
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  • In mathematics, the Frölicher–Nijenhuis bracket is an extension of the Lie bracket of vector fields to vector-valued differential forms on a differentiable manifold. It is useful in the study of connections, notably the Ehresmann connection, as well as in the more general study of projections in the tangent bundle. It was introduced by Alfred Frölicher and Albert Nijenhuis (1956) and is related to the work of Schouten (1940).
  • 在数学中，Frölicher–Nijenhuis括号（Frölicher–Nijenhuis bracket）是光滑流形上向量场的李括号到向量值微分形式的推广。它在研究联络，特别是埃雷斯曼联络，以及更一般的研究切丛的投影中很有用。此括号由 Alfred Frölicher 与 Albert Nijenhuis 于1956年引入，与斯豪滕1940年的工作有联系。 它与 Nijenhuis–Richardson括号和 Schouten–Nijenhuis括号相关但不是一回事。
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  • Frölicher–Nijenhuis bracket
  • Frölicher–Nijenhuis括号
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