Remarks on Multi-Dimensional Conformal Mechanics

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Burdík, C., Nersessian, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149262
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Remarks on Multi-Dimensional Conformal Mechanics / C. Burdík, A. Nersessian // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 17 назв. — англ.

Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one. Considering the classical counterpart of this transformation, we relate this transformation with the Weil model of Lobachewsky space.