Remarks on Multi-Dimensional Conformal Mechanics
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.
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National Academy of Science of Ukraine
2009-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.004 |
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doaj-26ee7655193b491b81c4031d50ef34372020-11-24T20:56:14ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-01-015004Remarks on Multi-Dimensional Conformal MechanicsCestmír BurdíkArmen NersessianRecently, 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.http://dx.doi.org/10.3842/SIGMA.2009.004conformal mechanicsintegrability |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Cestmír Burdík Armen Nersessian |
| spellingShingle |
Cestmír Burdík Armen Nersessian Remarks on Multi-Dimensional Conformal Mechanics Symmetry, Integrability and Geometry: Methods and Applications conformal mechanics integrability |
| author_facet |
Cestmír Burdík Armen Nersessian |
| author_sort |
Cestmír Burdík |
| title |
Remarks on Multi-Dimensional Conformal Mechanics |
| title_short |
Remarks on Multi-Dimensional Conformal Mechanics |
| title_full |
Remarks on Multi-Dimensional Conformal Mechanics |
| title_fullStr |
Remarks on Multi-Dimensional Conformal Mechanics |
| title_full_unstemmed |
Remarks on Multi-Dimensional Conformal Mechanics |
| title_sort |
remarks on multi-dimensional conformal mechanics |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2009-01-01 |
| description |
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. |
| topic |
conformal mechanics integrability |
| url |
http://dx.doi.org/10.3842/SIGMA.2009.004 |
| work_keys_str_mv |
AT cestmirburdik remarksonmultidimensionalconformalmechanics AT armennersessian remarksonmultidimensionalconformalmechanics |
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