This article is cited in 5 papers

Isometrics embedding in $E^3$ of some noncompact domains in the Lobachevskii plane

È. G. Poznyak


Abstract: It is shown that all polygons in the Lobachevskii plane which have a finite number of vertices, as well as two wide classes of polygons with denumerably many vertices, can be regularly isometrically embedded in $E^3$. It is also shown that these polygons can be covered by a regular Chebyshev net.
Bibliography: 4 titles.

UDC: 513.8

MSC: 50C05, 53C40

Received: 27.09.1976

 English version: Mathematics of the USSR-Sbornik, 1977, 31:1, 1–27

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