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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 216, Pages 116–123
DOI: https://doi.org/10.36535/0233-6723-2022-216-116-123 (Mi into1087) 		 
Existence of a surface with prescribed geometric characteristics in the Galilean space

B. M. Sultanov

Urgench State University named after Al-Khorezmi
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DOI: https://doi.org/10.36535/0233-6723-2022-216-116-123
Abstract: In this paper, we prove the existence of a cyclic surface spanned by two given curved spaces, the existence of a complete cyclic surface with a given total curvature on the whole plane, and the existence of a surface with given coefficients of the first quadratic form and the curvature defect.
Keywords: Galilean space, cyclic surface, reconstruction, geometric characteristics, curvature defect, isometry.
Document Type: Article
UDC: 517.126+514.7
MSC: 53A35, 53B30
Language: Russian
Citation: B. M. Sultanov, “Existence of a surface with prescribed geometric characteristics in the Galilean space”, Algebra, geometry, differential equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 216, VINITI, Moscow, 2022, 116–123
Citation in format AMSBIB
\Bibitem{Sul22}
\by B.~M.~Sultanov
\paper Existence of a surface with prescribed geometric characteristics in the Galilean space
\inbook Algebra, geometry, differential equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 216
\pages 116--123
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1087}
\crossref{https://doi.org/10.36535/0233-6723-2022-216-116-123}
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