- Lie differential
- Математика: дифференциал Ли
Универсальный англо-русский словарь. Академик.ру. 2011.
Lie differential
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Lie group — Lie groups … Wikipedia
Lie theory — is an area of mathematics, developed initially by Sophus Lie.In Lie s early work, the idea was to construct a theory of continuous groups , to complement the theory of discrete groups that had developed in the theory of modular forms, in the… … 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
Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
Differential invariant — In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and… … Wikipedia
Differential algebra — In mathematics, differential rings, differential fields, and differential algebras are rings, fields, and algebras equipped with a derivation, which is a unary function that is linear and satisfies the Leibniz product law. A natural example of a… … Wikipedia
Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… … Wikipedia
Lie algebra cohomology — In mathematics, Lie algebra cohomology is a cohomology theory for Lie algebras. It was defined by Chevalley and Eilenberg (1948) in order to give an algebraic construction of the cohomology of the underlying topological spaces of compact Lie … Wikipedia
Lie, Sophus — ▪ Norwegian mathematician born Dec. 17, 1842, Nordfjordeid, Norway died Feb. 18, 1899, Kristiania Norwegian mathematician who founded the theory of continuous groups and their applications to the theory of differential equations (differential… … Universalium
