Email this article On an isometric embedding of prisms
- Authors: Dolbilin N.P.1, Shtogrin M.I.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 215, No 2 (2024)
- Pages: 21-32
- Section: Articles
- URL: https://journal-vniispk.ru/0368-8666/article/view/251794
- DOI: https://doi.org/10.4213/sm9934
- ID: 251794
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Abstract
For an arbitrary convex polyhedral prism, a family of isometric embeddings of it is constructed that satisfy conditions similar to those that Pogorelov imposed on an isometry of a circular cylinder and called the ‘conditions of support on circles at the edges’.
Keywords
About the authors
Nikolay Petrovich Dolbilin
Steklov Mathematical Institute of Russian Academy of Sciences
Author for correspondence.
Email: dolbilin@mi-ras.ru
Scopus Author ID: 6602708068
ResearcherId: Q-5832-2016
Doctor of physico-mathematical sciences, Professor
Mikhail Ivanovich Shtogrin
Steklov Mathematical Institute of Russian Academy of Sciences
Email: stogrin@mi-ras.ru
Scopus Author ID: 6604040878
ResearcherId: Q-9809-2016
Doctor of physico-mathematical sciences, no status
References
- А. В. Погорелов, Геометрические методы в нелинейной теории упругих оболочек, Наука, М., 1967, 280 с.
- М. И. Штогрин, “Специальные изометрические преобразования поверхностей платоновых тел”, УМН, 60:4(364) (2005), 221–222
- М. И. Штогрин, “Изометрические погружения конуса и цилиндра”, Изв. РАН. Сер. матем., 73:1 (2009), 187–224
- М. И. Штогрин, “Задача Погорелова об изометрических преобразованиях цилиндрической поверхности”, УМН, 74:6(450) (2019), 169–170
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