Equivalent Integrable Metrics on the Sphere with Quartic Invariants

Autor:	Tsiganov, Andrey V.
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics Mathematics - Dynamical Systems
Zdroj:	SIGMA 18 (2022), 094, 19 pages
Druh dokumentu:	Working Paper
DOI:	10.3842/SIGMA.2022.094
Popis:	We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere with a set of geodesic flows with quartic invariants. By adding various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quartic invariants.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.09576 Zobrazit plný text záznamu View this record from Arxiv