Invariant Classification and Limits of Maximally Superintegrable Systems in 3D

• Дата: 2015
• Автори: Capel, J.J., Kress, J.M., Post, S.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2015
• Назва видання: Symmetry, Integrability and Geometry: Methods and Applications
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/147015
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Invariant Classification and Limits of Maximally Superintegrable Systems in 3D / J.J. Capel, J.M. Kress, S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.

The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D complex Riemannian manifolds can be obtained from singular limits of a generic sys...