Schouten-Nijenhuis bracket — In differential geometry, the Schouten Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Schouten–Nijenhuis bracket — In differential geometry, the Schouten–Nijenhuis bracket, also known as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields. There are two different… … Wikipedia
Frölicher-Nijenhuis bracket — 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… … Wikipedia
Bracket (disambiguation) — Bracket may refer to: * Bracket, one of a class of punctuation marks used in pairs to set apart or interject text within other text ** Square bracket, one type of punctuation bracket (primarily American usage) ** Parenthesis, another type of… … Wikipedia
Nijenhuis-Richardson bracket — In mathematics, the algebraic bracket or Nijenhuis Richardson bracket is a graded Lie algebra structure on the space of alternating multilinear forms of a vector space to itself, introduced by A. Nijenhuis and R. Richardson (1966, 1967). It is… … Wikipedia
Nijenhuis–Richardson bracket — In mathematics, the algebraic bracket or Nijenhuis–Richardson bracket is a graded Lie algebra structure on the space of alternating multilinear forms of a vector space to itself, introduced by A. Nijenhuis and R. W. Richardson, Jr (1966, 1967).… … Wikipedia
Bracket (mathematics) — In mathematics, various typographical forms of brackets are frequently used in mathematical notation such as parentheses ( ), square brackets [ ] , curly brackets { }, and angle brackets < >. In the typical use, a mathematical expression is… … Wikipedia
Albert Nijenhuis — is a Dutch mathematician at the University of Washington and the University of Pennsylvania working on combinatorics and differential geometry, who introduced the Frölicher Nijenhuis bracket, the Nijenhuis Richardson bracket, the Schouten… … Wikipedia
Courant bracket — In a field of mathematics known as differential geometry, the Courant bracket is a generalization of the Lie bracket from an operation on the tangent bundle to an operation on the direct sum of the tangent bundle and the vector bundle of p forms … Wikipedia
Lie derivative — In mathematics, the Lie derivative, named after Sophus Lie by Władysław Ślebodziński, evaluates the change of one vector field along the flow of another vector field.The Lie derivative is a derivation on the algebra of tensor fields over a… … Wikipedia
