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A Global Formulation of the Fundamental Theorem of the theory of Surfaces in three Dimensional Euclidean Space

Published online by Cambridge University Press:  22 January 2016

Shigeo Sasaki
Shigeo Sasaki*
Affiliation:
Mathematical Institute, Tôhoku University
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Let us consider a surface S of class C3 in Euclidean space E3 and

(1.1) xi = xi(u1, u2) (i, j, k = 1, 2, 3)

be its parametric representation of class C3.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 13 , June 1958 , pp. 69 - 82
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1958

References

[1] Chevalley, C., Theory of Lie groups, I, (1946).Google Scholar
[2] Steenrod, N. E., The topology of fibre bundles, (1951).Google Scholar