A Note on the Rotationally Symmetric SO(4) Euler Rigid Body
We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it by means of the method of separation of variables.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147829 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body / G. Falqui // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 27 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862737839125430272 |
|---|---|
| author | Falqui, G. |
| author_facet | Falqui, G. |
| citation_txt | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body / G. Falqui // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 27 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it by means of the method of separation of variables.
|
| first_indexed | 2025-12-07T20:01:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147829 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:01:28Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Falqui, G. 2019-02-16T08:56:48Z 2019-02-16T08:56:48Z 2007 A Note on the Rotationally Symmetric SO(4) Euler Rigid Body / G. Falqui // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 27 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37K10; 70H20; 14H70 https://nasplib.isofts.kiev.ua/handle/123456789/147829 We consider an SO(4) Euler rigid body with two 'inertia momenta' coinciding. We study it from the point of view of bihamiltonian geometry. We show how to algebraically integrate it by means of the method of separation of variables. This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. This work was partially supported by the European Community through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT-2004-5652), and by the European Science Foundation project MISGAM. Thanks are due to the anonymous referees for their useful remarks. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Note on the Rotationally Symmetric SO(4) Euler Rigid Body Article published earlier |
| spellingShingle | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body Falqui, G. |
| title | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body |
| title_full | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body |
| title_fullStr | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body |
| title_full_unstemmed | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body |
| title_short | A Note on the Rotationally Symmetric SO(4) Euler Rigid Body |
| title_sort | note on the rotationally symmetric so(4) euler rigid body |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147829 |
| work_keys_str_mv | AT falquig anoteontherotationallysymmetricso4eulerrigidbody AT falquig noteontherotationallysymmetricso4eulerrigidbody |