Geodesic
Existence of a surface with prescribed geometric characteristics in the Galilean space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, geometry, differential equations, Tome 216 (2022), pp. 116-123.

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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, geometric characteristics, curvature defect, isometry.
Mots-clés : reconstruction 
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B. M. Sultanov. Existence of a surface with prescribed geometric characteristics in the Galilean space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Algebra, geometry, differential equations, Tome 216 (2022), pp. 116-123. http://geodesic.mathdoc.fr/item/INTO_2022_216_a11/

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