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On the rigidity and analytical rigidity of two-connected regular surfaces of revolution for a given direction of displacement of edge points

Lenka RýparováBrno University of TechnologyN. I. GusevaDepartment of Geometry, Moscow Pedagogical State University, Moscow, Russian FederationMamadiar SherkuziyevDepartment of Higher and Applied Mathematics, Tashkent Financial Institute, Tashkent, UzbekistanNasiba SherkuziyevaDepartment of Higher and Applied Mathematics, Tashkent Financial Institute, Tashkent, Uzbekistan
Filomatjournal2023en
ABI

Abstract

In this paper, we investigate infinitesimal bends of two-connected surfaces of revolution on which are given conditions that allow the points of one of the boundary parallels to move only along a given constant direction. We formulated the obtained results in the form of a theorem.

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