Abstract
We give some historical information about Euler’s conjecture on the rigidity of compact surfaces as well as the available results related to its proof. We thoroughly describe an approach to the conjecture by infinitesimal bendings in the case when the deformation of the surface is considered in the class of sliding bendings. We prove that Euler’s conjecture is true for the surfaces of revolution of genus 0 in the class of sliding bendings.
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The author thanks the referee for the speedy submission of the review with numerous corrections and clarifications of the text of the article.
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Translated from Sibirskii Matematicheskii Zhurnal, 2023, Vol. 64, No. 5, pp. 1065–1082. https://doi.org/10.33048/smzh.2023.64.513
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Sabitov, I.K. Infinitesimal Sliding Bendings of Compact Surfaces and Euler’s Conjecture. Sib Math J 64, 1213–1228 (2023). https://doi.org/10.1134/S0037446623050130
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DOI: https://doi.org/10.1134/S0037446623050130