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Lie derivative

In differential geometry, the Lie derivative (/liː/ LEE), named after Sophus Lie by Władysław Ślebodziński, evaluates the change of a tensor field (including scalar functions, vector fields and one-forms), along the flow defined by another vector field. This change is coordinate invariant and therefore the Lie derivative is defined on any differentiable…

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Lie derivative

Nodes86
Edges85
Triples106
Avg. degree1.98
Density0.023256
Components1

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Lie derivative

Top relations

related to References · 42
Lie derivative → Abraham, Addison-Wesley, Applications, Benjamin-Cummings, Berlin, Bleecker, Classical, David, Differential, Differential Geometry, Extensive, For, Foundations, Fundamentals, Gauge Theory, Geometric Analysis, ISBN, Jerrold, Jost, Jürgen
related to history · 9
Lie derivative → Dantzig, David, In, Lie, Nijenhuis, Tashiro, The Lie, Władysław, Yano
related to The Lie derivative of a differential form · 7
Lie derivative → Both, Cartan's, Lambda, Let, Lie, The, These
related to The Lie derivative of a spinor field · 7
Lie derivative → André Lichnerowicz's, In, Killing, Later, Lie, Riemannian, Yvette Kosmann
related to The Lie derivative of a vector field · 7
Lie derivative → Although, Here, If, Lie, The Lie, There, We
related to Coordinate expressions · 6
Lie derivative → Alternatively, Christoffel, Gamma, In, Levi Civita, Lie
related to Nijenhuis–Lie derivative · 6
Lie derivative → Albert Nijenhuis, Another, If, Lie, The Nijenhuis, TM
related to Covariant Lie derivative · 4
Lie derivative → If, Lie, Now, This
related to External links · 4
Lie derivative → EMS Press, Encyclopedia, Lie, Mathematics
related to Properties · 4
Lie derivative → Let, That, The Lie, Then

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lie derivative field vector differential displaystyle tensor fields manifold respect forms mathcal connection form definition also algebra spinor defined derivatives

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Lie derivativeis adifferential of the representation of the diffeomorphism group on tensor fields0.90text
Lie derivativeis aspeed with which the tensor field changes under the space deformation caused by the flow.Formally0.90text
Lie derivativeis atensor density of the same type and weight0.90text
Lie derivativerelated to Coordinate expressionsIn0.60section
Lie derivativerelated to Coordinate expressionsLie0.60section
Lie derivativerelated to Coordinate expressionsAlternatively0.60section
Lie derivativerelated to Coordinate expressionsLevi Civita0.60section
Lie derivativerelated to Coordinate expressionsGamma0.60section
Lie derivativerelated to Coordinate expressionsChristoffel0.60section
Lie derivativerelated to Covariant Lie derivativeIf0.60section
Lie derivativerelated to Covariant Lie derivativeLie0.60section
Lie derivativerelated to Covariant Lie derivativeNow0.60section

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