Local isometric embeddings of surfaces into a 3-space (Q1302282)
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scientific article; zbMATH DE number 1340802
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local isometric embeddings of surfaces into a 3-space |
scientific article; zbMATH DE number 1340802 |
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Local isometric embeddings of surfaces into a 3-space (English)
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6 September 2001
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The aim of this paper is to prove that any abstract smooth surface can be locally isometrically embedded into a class of 3-dimensional spaces \(N_{\rho_0}\), parametered by \(\rho_0 >0\), with sectional curvature \(K_{N_{\rho_0}}\) satisfying \(-{1\over \rho^2_0}\leq K_{N_{\rho_0}} \leq 0\).
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local isometric embedding
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Riemannian manifold
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Gauss curvature
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sectional curvature
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0.93546224
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0.92476153
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0.9108109
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0.9096545
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0.90902555
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0.9081614
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0.9068667
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