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Continuity of a Deformation as a Function of its Cauchy-Green Tensor

โœ Scribed by Philippe G. Ciarlet; Florian Laurent


Publisher
Springer
Year
2003
Tongue
English
Weight
196 KB
Volume
167
Category
Article
ISSN
0003-9527

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โœ Philippe G. Ciarlet; Cristinel Mardare ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

A basic theorem from differential geometry asserts that, if the Riemann curvature tensor associated with a field C of class C 2 of positive-definite symmetric matrices of order n vanishes in a connected and simply-connected open subset โ„ฆ of R n , then there exists an immersion ฮ˜ โˆˆ C 3 (โ„ฆ; R n ), uni