Geodesic Equations on Diffeomorphism Groups

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2008, том 4
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dc.contributor.author	Vizman, C.
dc.date.accessioned	2019-02-19T13:10:41Z
dc.date.available	2019-02-19T13:10:41Z
dc.date.issued	2008
dc.identifier.citation	Geodesic Equations on Diffeomorphism Groups / C. Vizman // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 63 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 58D05; 35Q35
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149033
dc.description.abstract	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 L² or H¹ 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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). This work was done with the financial support of Romanian Ministery of Education and Research under the grant CNCSIS 95GR/2007. I acknowledge the support from the ICTP Of fice of External Activities for attending the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” in Kyiv. I am most grateful to Tudor Ratiu and Francois Gay-Balmaz for their preprints and for very good suggestions, and to the referees for their very substantial and constructive comments.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Geodesic Equations on Diffeomorphism Groups	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA