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Local isometric embeddings of surfaces into a 3-space. (English) Zbl 0967.53039
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 \(-{1\over \rho^2_0}\leq K_{N_{\rho_0}} \leq 0\).
Reviewer: A.Neagu (Iaşi)

MSC:
53C40 Global submanifolds
53C20 Global Riemannian geometry, including pinching
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