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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 476, Pages 50–78
(Mi znsl6724)
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This article is cited in 1 scientific paper (total in 1 paper)
Existenñe of convex polyhedra with prescribed development
Yu. A. Volkov Saint Petersburg State University, Saint Petersburg, Russia
Abstract:
This article is the publication of the Ph.D. thesis of Yurii Aleksandrovich Volkov (1930–1981), in which the famous theorem of A. D. Aleksandrov on the existence of a convex polyhedron with a given development is proved using a variational method.
Key words and phrases:
convex polytope, polyhedral metrics.
Received: 11.11.2018
Citation:
Yu. A. Volkov, “Existenñe of convex polyhedra with prescribed development”, Geometry and topology. Part 13, Zap. Nauchn. Sem. POMI, 476, POMI, St. Petersburg, 2018, 50–78
Linking options:
https://www.mathnet.ru/eng/znsl6724 https://www.mathnet.ru/eng/znsl/v476/p50
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Statistics & downloads: |
Abstract page: | 178 | Full-text PDF : | 82 | References: | 28 |
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