Geodesic Equations on Diffeomorphism Groups

dc.contributor.authorVizman, C.
dc.date.accessioned2019-02-19T13:10:41Z
dc.date.available2019-02-19T13:10:41Z
dc.date.issued2008
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationGeodesic Equations on Diffeomorphism Groups / C. Vizman // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 63 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 58D05; 35Q35
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149033
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleGeodesic Equations on Diffeomorphism Groupsuk_UA
dc.typeArticleuk_UA

Файли

Оригінальний контейнер

Зараз показуємо 1 - 1 з 1
Завантаження...
Ескіз
Назва:
30-Vizman.pdf
Розмір:
365.79 KB
Формат:
Adobe Portable Document Format
Опис:
Стаття

Контейнер ліцензії

Зараз показуємо 1 - 1 з 1
Завантаження...
Ескіз
Назва:
license.txt
Розмір:
817 B
Формат:
Item-specific license agreed upon to submission
Опис: