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Explicit form of quaternion modular embeddings

open access: yesExplicit form of quaternion modular embeddings
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The Bianchi identities in an explicit form

Archive for Rational Mechanics and Analysis, 1988
Let v(x) be a given vector field in Euclidean 3-space \(E_ 3\), while s(x) is the unit vector tangent to the vector-lines of v, and n is the unit principal normal to this vector-line. The unit bi-normal is \(b=s\times n\). The components of grad s, grad n, grad b on the basis (s,n,b) are connected by nine compatibility conditions contained in the ...
A W Marris, Marris A W
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