On the properties of K. Beretsky's partition constructions: (in hyperbolic spaces of high dimension) - Softcover

BALKAN, Vladimir

Softcover

ISBN 10: 6206983730 ISBN 13: 9786206983736

Verlag: Our Knowledge Publishing, 2023

Inhaltsangabe

This book is devoted to a survey of non-normal partitions of hyperbolic space, in particular a survey of irregular partitions of K. Beretsky and some useful consequences of the proposed constructions. With the help of this partition (Beretsky's), it is easy to construct examples of non-normal partitions of n-dimensional hyperbolic space (constructive proof of the existence theorem) by equal compact convex polyhedra and these partitions cannot be transformed into regular ones by transposing the partition polyhedra. In this paper we note some possible generalisations of the construction of K. Beretsky, which, in most cases, also allow to construct non-normal partitions. The peculiarities of the partitions allow one to constructively prove some general statements concerning, for example, Delaunay point systems and Delaunay partitions. The publication also discusses the question of the number of hyperfacets of a (hyperbolic) tie.

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Über die Autorin bzw. den Autor

Docent kafedry matematiki Akademii äkonomicheskih issledowanij Moldowy. Osnownaq oblast' issledowanij - diskretnaq geometriq, giperbolicheskaq geometriq, awtor bolee 80 publikacij. Ego publikacii ohwatywaüt takie temy, kak: Potolki prostranstw postoqnnoj otricatel'noj kriwizny, Giperbolicheskie mnogoobraziq, Powedenie geodezicheskih na giperbolicheskih dwuh mnogoobraziqh.

Details zur Ausgabe

• Verlag: Our Knowledge Publishing
• Erscheinungsdatum: 2023
• Sprache: Englisch
• ISBN 10: 6206983730
• ISBN 13: 9786206983736
• Einband: Taschenbuch
• Anzahl der Seiten: 56
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: preigu; mail@preigu.de; ; Lengericher Landstr. 19; Osnabrück; 49078; Deutschland