Symplectic Applicability of Lagrangian Surfaces
We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their integrability equations. The invariant setup is applied t...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149108 |
| Теги: |
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| Цитувати: | Symplectic Applicability of Lagrangian Surfaces / E. Musso, L. Nicolodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149108 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1491082019-02-20T01:26:56Z Symplectic Applicability of Lagrangian Surfaces Musso, E. Nicolodi, L. We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their integrability equations. The invariant setup is applied to discuss the question of symplectic applicability for elliptic Lagrangian immersions. Explicit examples are considered. 2009 Article Symplectic Applicability of Lagrangian Surfaces / E. Musso, L. Nicolodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 53A07; 53B99; 53D12; 53A15 http://dspace.nbuv.gov.ua/handle/123456789/149108 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We develop an approach to affine symplectic invariant geometry of Lagrangian surfaces by the method of moving frames. The fundamental invariants of elliptic Lagrangian immersions in affine symplectic four-space are derived together with their integrability equations. The invariant setup is applied to discuss the question of symplectic applicability for elliptic Lagrangian immersions. Explicit examples are considered. |
| format |
Article |
| author |
Musso, E. Nicolodi, L. |
| spellingShingle |
Musso, E. Nicolodi, L. Symplectic Applicability of Lagrangian Surfaces Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Musso, E. Nicolodi, L. |
| author_sort |
Musso, E. |
| title |
Symplectic Applicability of Lagrangian Surfaces |
| title_short |
Symplectic Applicability of Lagrangian Surfaces |
| title_full |
Symplectic Applicability of Lagrangian Surfaces |
| title_fullStr |
Symplectic Applicability of Lagrangian Surfaces |
| title_full_unstemmed |
Symplectic Applicability of Lagrangian Surfaces |
| title_sort |
symplectic applicability of lagrangian surfaces |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149108 |
| citation_txt |
Symplectic Applicability of Lagrangian Surfaces / E. Musso, L. Nicolodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mussoe symplecticapplicabilityoflagrangiansurfaces AT nicolodil symplecticapplicabilityoflagrangiansurfaces |
| first_indexed |
2023-05-20T17:32:21Z |
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2023-05-20T17:32:21Z |
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1796153520955588608 |