Enviar artigo por via de e-mail On an isometric embedding of prisms
- Autores: Dolbilin N.P.1, Shtogrin M.I.1
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Afiliações:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Edição: Volume 215, Nº 2 (2024)
- Páginas: 21-32
- Seção: Articles
- URL: https://ogarev-online.ru/0368-8666/article/view/251794
- DOI: https://doi.org/10.4213/sm9934
- ID: 251794
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Resumo
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’.
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Sobre autores
Nikolay Dolbilin
Steklov Mathematical Institute of Russian Academy of Sciences
Autor responsável pela correspondência
Email: dolbilin@mi-ras.ru
Scopus Author ID: 6602708068
Researcher ID: Q-5832-2016
Doctor of physico-mathematical sciences, Professor
Mikhail Shtogrin
Steklov Mathematical Institute of Russian Academy of Sciences
Email: stogrin@mi-ras.ru
Scopus Author ID: 6604040878
Researcher ID: Q-9809-2016
Doctor of physico-mathematical sciences, no status
Bibliografia
- 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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