Holomorphic Distributions and Connectivity by Integral Curves of Distributions

• Опубліковано в: Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2019
• ISSN: 1815-0659
• Автор: Zorich, V.A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2019
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/210225
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Holomorphic Distributions and Connectivity by Integral Curves of Distributions / V.A. Zorich // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 15 назв. — англ.

It is known that the classical Frobenius theorem on conditions of integrability for distributions of planes can be extended to the case of complex holomorphic distributions. We show that an alternative criterion for integrability, namely, non-connectivity, discovered (or at least, marked and explici...