Koenigs Theorem and Superintegrable Liouville Metrics

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.

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2023
Main Author: Valent, Galliano
Format: Article
Language:English
Published: Інститут математики НАН України 2023
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/211983
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Koenigs Theorem and Superintegrable Liouville Metrics. Galliano Valent. SIGMA 19 (2023), 048, 23 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary: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.
ISSN:1815-0659