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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2023 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| 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 |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712271034122240 |
|---|---|
| author | Valent, Galliano |
| author_facet | Valent, Galliano |
| citation_txt | Koenigs Theorem and Superintegrable Liouville Metrics. Galliano Valent. SIGMA 19 (2023), 048, 23 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
|
| first_indexed | 2026-03-19T18:13:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211983 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T18:13:00Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Valent, Galliano 2026-01-20T16:14:22Z 2023 Koenigs Theorem and Superintegrable Liouville Metrics. Galliano Valent. SIGMA 19 (2023), 048, 23 pages 1815-0659 2020 Mathematics Subject Classification: 32C05; 37E35; 37E99; 37J35 arXiv:2301.09075 https://nasplib.isofts.kiev.ua/handle/123456789/211983 https://doi.org/10.3842/SIGMA.2023.048 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. The author is greatly indebted to the anonymous referees whose remarks allowed useful corrections and brought to light several references related to this work. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Koenigs Theorem and Superintegrable Liouville Metrics Article published earlier |
| spellingShingle | Koenigs Theorem and Superintegrable Liouville Metrics Valent, Galliano |
| title | Koenigs Theorem and Superintegrable Liouville Metrics |
| title_full | Koenigs Theorem and Superintegrable Liouville Metrics |
| title_fullStr | Koenigs Theorem and Superintegrable Liouville Metrics |
| title_full_unstemmed | Koenigs Theorem and Superintegrable Liouville Metrics |
| title_short | Koenigs Theorem and Superintegrable Liouville Metrics |
| title_sort | koenigs theorem and superintegrable liouville metrics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211983 |
| work_keys_str_mv | AT valentgalliano koenigstheoremandsuperintegrableliouvillemetrics |