Existence of a Polyhedron with Prescribed Development

Existence of a Polyhedron with Prescribed Development

This article is the publication of Yurii Aleksandrovich Volkov’s (1930–1981) Ph.D. thesis, in which A.D. Aleksandrov’s famous theorem on the existence of a convex polyhedron with a given development is proved using a variational method.

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2020-12, Vol.251 (4), p.462-479
1. Verfasser: Volkov, Yu. A.
Format: Artikel
Sprache:eng
Schlagworte:
Existence theorems
Mathematics
Mathematics and Statistics
Polyhedra
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Beschreibung
Zusammenfassung:This article is the publication of Yurii Aleksandrovich Volkov’s (1930–1981) Ph.D. thesis, in which A.D. Aleksandrov’s famous theorem on the existence of a convex polyhedron with a given development is proved using a variational method.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-020-05106-3