Email this article Differential invariants of circle foliations on the plane
- Authors: Duyunova A.1
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Affiliations:
- V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
- Issue: Vol 38, No 4 (2017)
- Pages: 637-643
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199581
- DOI: https://doi.org/10.1134/S1995080217040072
- ID: 199581
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Abstract
Circle foliations on the plane are considered with respect to the conformal transformations. We derive 3rd order differential equation whose solutions determine such foliations. Lie group of symmetries and differential invariants algebra of this equation are found.
About the authors
A. Duyunova
V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Author for correspondence.
Email: duyunova_anna@mail.ru
Russian Federation, ul. Profsoyuznaya 65, Moscow, 117997
