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JOURNALS // Uspekhi Matematicheskikh Nauk // Archive
Uspekhi Mat. Nauk, 1973 Volume 28, Issue 4(172), Pages 47–76 (Mi rm4921)
This article is cited in 16 papers

Isometric immersions of two-dimensional Riemannian metrics in euclidean space

È. G. Poznyak


Abstract: In this paper we consider the problem of global isometric immersions of two-dimensional Riemannian metrics in Euclidean space. The dimension of the ambient space depends on the character of the Riemannian metric in question.

UDC: 513.8

MSC: 53A05, 53C42, 53C25, 53C21

Received: 23.04.1973


 English version: Russian Mathematical Surveys, 1973, 28:4, 47–77

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