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Arbitrary tensor concomitants of a bivector and a metric in a space-time manifold

✍ Scribed by Barney Kerrighan


Publisher
Springer US
Year
1981
Tongue
English
Weight
291 KB
Volume
13
Category
Article
ISSN
0001-7701

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Recovery of a manifold with boundary and
✍ Philippe G. Ciarlet; Cristinel Mardare πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 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 Ω of R n , then there exists an immersion Θ ∈ C 3 (Ω; R n ), uni