This article is cited in 2 papers

Isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space

A. B. Ivanov

Moscow Region Pedagogical Instityte

Abstract: In this article we consider the problem of isometric imbedding of a complete two-dimensional locally Euclidean manifold in a Euclidean space. For each of the possible topological types the corresponding minimal dimension of the extending Euclidean space is indicated.

UDC: 519.4

Received: 10.12.1971

 English version: Mathematical Notes, 1973, 13:3, 258–259

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