The Variety of Integrable Killing Tensors on the 3-Sphere

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• ISSN: 1815-0659
• Main Author: Schöbel, K.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146598
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Variety of Integrable Killing Tensors on the 3-Sphere / K. Schöbel // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 46 назв. — англ.

Integrable Killing tensors are used to classify orthogonal coordinates in which the classical Hamilton-Jacobi equation can be solved by a separation of variables. We completely solve the Nijenhuis integrability conditions for Killing tensors on the sphere S³ and give a set of isometry invariants for...