Definition of Coframes. Meaning of Coframes. Synonyms of Coframes

Here you will find one or more explanations in English for the word Coframes. Also in the bottom left of the page several parts of wikipedia pages related to the word Coframes and, of course, Coframes synonyms and on the right images related to the word Coframes.

Definition of Coframes

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Meaning of Coframes from wikipedia

- In mathematics, a coframe or coframe field on a smooth manifold M {\displaystyle M} is a system of one-forms or covectors which form a basis of the cotangent...
- Cartan, the primary geometrical information was expressed in a coframe or collection of coframes on a differentiable manifold. See method of moving frames...
- zero). In fact, in the method of moving frames, one more often works with coframes rather than frames. More generally, moving frames may be viewed as sections...
- } If we had another coframe ⁠ Φ = ( ϕ 1 , … , ϕ n ) {\displaystyle \Phi =(\phi ^{1},\dots ,\phi ^{n})} ⁠, then the two coframes would be related by an...
- Cambridge University Press. ISBN 0-521-42908-0. See Chapter 4 for frames and coframes. If you ever need more information about frame fields, this might be a...
- basis), the moving coframe (a moving tangent frame for the cotangent bundle T ∗ M {\displaystyle \mathrm {T} ^{*}M} ; see also coframe) {ei}. Then the pseudo-Riemannian...
- PMID 15716951. S2CID 1454595. Nandi, Owi Ivar. 2012. Human Language Evolution, as Coframed by Behavioral and Psychological Universalisms, Bloomington: iUniverse Publishers...
- \tau }(0){\bigr ]}x^{\tau }+O(|x|^{2}).} Similarly we can construct local coframes in which e μ ∗ a ( x ) = δ a μ − 1 6 R a σ μ τ ( 0 ) x σ x τ + O ( x 2...
- e_{\theta }={\frac {1}{r}}{\frac {\partial }{\partial \theta }},} with dual coframe e r = d r , e θ = r d θ . {\displaystyle e^{r}=dr,\quad e^{\theta }=rd\theta...
- two-manifold is to use the differential forms method of Élie Cartan. Take the coframe field σ 1 = exp ⁡ ( p ) d x , σ 2 = exp ⁡ ( p ) d y {\displaystyle \sigma...