Geodesic
Koenigs Theorem and Superintegrable Liouville Metrics
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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In a first part, we give a new proof of Koenigs theorem and, in a second part, we determine the local form of all the superintegrable Riemannian Liouville metrics as well as their global geometries.
Keywords: Koenigs metrics, superintegrable geodesic flow, two-dimensional manifolds.
Mots-clés : Liouville metrics 
@article{SIGMA_2023_19_a47,
     author = {Galliano Valent},
     title = {Koenigs {Theorem} and {Superintegrable} {Liouville} {Metrics}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2023},
     volume = {19},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a47/}
}
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Galliano Valent. Koenigs Theorem and Superintegrable Liouville Metrics. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a47/

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