Lie Groups of Dimension Four and Almost Hypercomplex Manifolds with Hermitian–Norden Metrics
DOI:
https://doi.org/10.15407/mag18.03.417Анотація
У цiй роботi вивчено майже гiперкомплекснi многовиди з ермiтовими метриками Нордена найменшої розмiрностi. Зазначенi многовиди побудовано на чотиривимiрних групах Лi. Установлено зв’язок мiж класами класифiкацiї нерозкладних чотиривимiрних дiйсних алгебр Лi i класифiкацiї многовидiв, що дослiджуються. У рамках зазначеної класифiкацiї алгебр Лi вивчено основнi геометричнi характеристики побудованих многовидiв.
Mathematical Subject Classification 2010: 53C15, 53C50, 22E60, 22E15, 53C55
Ключові слова:
майже гiперкомплексна структура, ермiтова метрика, метрика Нордена, група Лi, алгебра ЛiПосилання
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