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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive

Mat. Fiz. Anal. Geom., 2003 Volume 10, Number 1, Pages 3–11 (Mi jmag227)

This article is cited in 1 paper

On special isometric immersions of regions of Lobachevsky space into Euclidean space

Yu. A. Aminovab, O. A. Tikhonovaa

a B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, Khar'kov
b Institute of Mathematics, Białystok University, 2 Akademicka Str., 15-267, Białystok, Poland

Abstract: In the article a method is given to construct isometric immersions of regions of $(n+1)$-dimensional Lobachevsky space into the $(p+2)$-dimensional Euclidean space in the form of a suspension over $n$-dimensional submanifold of constant curvature in $p$-dimensional sphere.

MSC: 53A07

Received: 10.04.2002



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