Koenigs Theorem and Superintegrable Liouville Metrics

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• 1. Verfasser: Valent, Galliano
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211983
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Koenigs Theorem and Superintegrable Liouville Metrics. Galliano Valent. SIGMA 19 (2023), 048, 23 pages

In the first part, we give a new proof of Koenigs theorem and, in the second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.