Цена: руб.
Слоеные группоиды Ли и метод Эресмана в дифференциальной геометрии
| Артикул товара | 186314 |
| volume | 1 |
| pages | 208 |
| cover | мягкая обложка |
| year | 2004 |
| ISBN | 5-354-00467-5 |
| series | - |
| author | Белько И.В. |
| publisher | Эдиториал УРСС |
| интернет магазин игрушек | |
Купить Слоеные группоиды Ли и метод Эресмана в дифференциальной геометрии в интернет-магазине
Основой для исследования геометрических структур на гладких многообразиях служат главные и присоединенные расслоения. Другой подход, предложенный Ш.Эресманом, использует понятие {it k}-струи и группоида Ли. Группоид Ли позволяет полнее использовать дифференциальные предложения и алгебраические аспекты геометрии. Например, характеристические классы можно строить на основе алгеброидов Ли.В работе дается развитие метода Эресмана для исследования трансверсальных свойств слоеных многообразий. Основные свойства дифференциальных продолжений обобщены на случай трансверсальных продолжений. Описаны трансверсальные связности высших порядков. Построены характеристические классы алгеброидов Ли. Дано обобщение класса Атьи-Молино, который служит препятствием к существованию проектируемой связности.
Для студентов, аспирантов, научных работников, специалистов по дифференциальной геометрии и топологии. Купить картины маслом
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