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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2018 Volume 476, Pages 50–78 (Mi znsl6724)

This article is cited 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.

UDC: 514.172, 514.722

Received: 11.11.2018



© Steklov Math. Inst. of RAS, 2024