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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 476, Pages 50–78 (Mi znsl6724)  
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
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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
Document Type: Article
UDC: 514.172, 514.722
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Vol18}
\by Yu.~A.~Volkov
\paper Existenñe of convex polyhedra with prescribed development
\inbook Geometry and topology. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 476
\pages 50--78
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6724}
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  • https://www.mathnet.ru/eng/znsl/v476/p50
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:27
     
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