Integrable geodesic flows on two-dimensional sphere, generated by one-dimensional many-particle systems

• Дата: 2006
• Автори: Vus, A., Вус, А.
• Формат: Стаття
• Мова: Українська
• Опубліковано: Інститут математики НАН України 2006
• Онлайн доступ: https://trim.imath.kiev.ua/index.php/trim/article/view/382
• Назва журналу: Transactions of Institute of Mathematics of NAS of Ukraine

The problem of the existence of additional first integral for the geodesic flow of Riemannian metric on two-dimensional sphere is considered. The explicit form of corresponding metrics, connected with potentials of interaction in integrable three- and four-particle Calogero-Moser and Toda systems is...