Geodesic Equations on Diffeomorphism Groups
| dc.creator | Vizman, Cornelia | |
| dc.date | 2008-03-11 | |
| dc.date.accessioned | 2026-07-07T09:34:53Z | |
| dc.date.available | 2026-07-07T09:34:53Z | |
| dc.description | We bring together those systems of hydrodynamical type that can be written as geodesic equations on diffeomorphism groups or on extensions of diffeomorphism groups with right invariant $L^2$ or $H^1$ metrics. We present their formal derivation starting from Euler's equation, the first order equation satisfied by the right logarithmic derivative of a geodesic in Lie groups with right invariant metrics. | |
| dc.description | This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0803.1678 | |
| dc.identifier | http://arxiv.org/abs/0803.1678 | |
| dc.identifier | SIGMA 4 (2008), 030, 22 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.030 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159655 | |
| dc.subject | Differential Geometry | |
| dc.title | Geodesic Equations on Diffeomorphism Groups | |
| dc.type | text |