3rd order differential invariants of coframes (Q2702817)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | 3rd order differential invariants of coframes |
scientific article |
Statements
13 March 2001
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differential invariant
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differential group
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frame
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coframe
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0.87988234
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0.8681754
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0.8631325
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0.86267823
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0.86030066
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0.8557862
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0.8552493
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3rd order differential invariants of coframes (English)
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The \(r\)-th order coframe bundle on an \(n\)-dimensional manifold \(X\) is the space of all invertible \(r\)-jets from \(X\) into \(\mathbb R^n\) with target \(0\in \mathbb R^n\). The authors deduce explicit formulae for a basis of third order invariants of coframes with values in left \(L^i_n\)-manifolds, where \(L^i_n\) is the \(i\)-th jet group in dimension \(i\)=1,2,3.
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