Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2019
• ISSN: 1815-0659
• Main Authors: Daudé, T., Kamran, N., Nicoleau, F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210226
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Separability and Symmetry Operators for Painlevé Metrics and their Conformal Deformations / T. Daudé, N. Kamran, F. Nicoleau // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 48 назв. — англ.

Painlevé metrics are a class of Riemannian metrics that generalize the well-known separable metrics of Stäckel to the case in which the additive separation of variables for the Hamilton-Jacobi equation is achieved in terms of groups of independent variables rather than the complete orthogonal separa...