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Exterior covariant derivative
Exterior covariant derivative In mathematics, the covariant exterior derivative, sometimes also exterior covariant derivative, ...
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Exterior derivative
Exterior derivative In mathematics, the exterior derivative operator of differential topology, extends the concept ... was invented by Élie Cartan. Definition The exterior derivative of a differential form of ...
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Derivative (generalizations)
Derivative (generalizations) In mathematics, there are many possible generalizations of the derivative, that is, the fundamental construction of the differential calculus. Multivariable calculus The derivative is often met for the first time ... of multivariable calculus. One view of the derivative is that it specifies the best linear ... m yields the idea of the total derivative, the best linear transformation approximating the ...
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Derivative (generalization) (translated from Russian)
Derivative (generalization) In matematike exists many different generalizations of the concept the derivative, t.k. it is the primary construction ... Analysis of the functions of several variables Derivative for the first time frequently is encountered ... of the functions of several variables. Partial derivative it is determined practically identical to derived ... the independent variable, which was made. Total derivative of function it is used for ...
http://ru.wikipedia.org/wiki/Производная_(обобщение) - 15k - Cached (Russian) - Wikipedia (Russian) - Similar pages
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Lie derivative
Lie derivative In mathematics, a Lie derivative, named after Sophus Lie, is a derivation ... the Lie group theory. Definition The Lie derivative may be defined in several equivalent ways ... simple, we begin by defining the Lie derivative acting on scalar functions and vector fields. The Lie derivative can also be defined to act ...
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Exterior bundle
Exterior bundle In mathematics, the exterior bundle of a manifold M is the ... the tensor bundle consisting of all antisymmetric covariant tensors. It has special significance, because one can define a connection-independent derivative on it, namely the exterior derivative. Sections of the exterior bundle ...
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Talk:Lie derivative
Talk:Lie derivative It seems that in the intro Lie ... just edited a bit of the "Lie derivative of tensor fields" section. I made a ... links to derivation (abstract algebra) on Lie derivative, and a couple on Talk:Lie derivative. I don't see any links to ... and am writing stuff on the Lie derivative in that article. I have links ...
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Covariant classical field theory
Covariant classical field theory To meet Wikipedia's ... years, there has been renewed interest in covariant classical field theory. Here, dynamics are phrased ... some of the geometric structure to the covariant formalism of first-order classical field theories ... V\,, by definition of the Lie derivative. Using Cartan's formula, |
Connection form
... also by ) Related definitions Exterior covariant derivative The exterior covariant derivative is a very useful notion ...
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User talk:The Anome
... are now entitled to derive and publish derivative works under the GFDL, providing they also ... are now entitled to derive and publish derivative works under the GFDL, providing they also ... 02:35, May 16, 2005 (UTC) Contravariant/Covariant The entry Contravariant has a notice: "This article should be merged into covariant transformation. If you disagree with this request ... there, so here I go. The term covariant has two very different meanings. In ...
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