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Разбиения гиперболического пространства и дискретные группы движений

Разбиения гиперболического пространства и дискретные группы движений

Владимир Васи Балкан

70,10 €
IVA incluido
Consulta disponibilidad
Editorial:
KS OmniScriptum Publishing
Año de edición:
2024
Materia
Geometría
ISBN:
9786207461172
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Цель данной публикации - дать сравнительный анализ проблем, связанных с правильными разбиениями пространств постоянной кривизны и дискретными (кристаллографическими) группами движений этих пространств. Основной акцент будет при этом обращен на разбиения гиперболического пространства.Интерес к вопросам кристаллографии гиперболического пространства достаточно велик (со времен обнаружения в некоторых структурах наличия поворотных осей пятого порядка). Поэтому главной целью изложения было сравнение проблем кристаллографии эвклидового и гиперболического пространств, истории возникновения неэвклидовой геометрии и к вопросам аксиоматики вообще и геометрии в частности.

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