Isometric realisations of Lobachevsky plane in Rn, n ≥ 4
Abstract
The article is written following the talk by author on the satellite conference “Lobachevsky readings” held in Kazan in July 2022. The talk has presented a short survey of works concerning the history and results of investigations devoted to the realisation of the complete Lobachevsky plane as a two-dimensional surface in a multidimensional Euclidean space. For the present situation the best result for the minimal dimension of ambient space is given by a theorem affirming that Lobachevsky plane can be immersed in R4 as a piecewise analytic surface with C0.1 smoothness in whole
About the Author
I. Kh. Sabitov
Moscow State University
Russian Federation
Russian Federation
Faculty of Mechanics and Mathematics
1 Leninskie Gory, Moscow, 119991
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Review
For citations:
Sabitov I.Kh. Isometric realisations of Lobachevsky plane in Rn, n ≥ 4. Mathematics and Theoretical Computer Science. 2023;1(2):22-34. (In Russ.)
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