Holomorphic Distributions and Connectivity by Integral Curves of Distributions

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• Main Author: Zorich, V.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210225
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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...