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...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2009
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149108 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Symplectic Applicability of Lagrangian Surfaces / E. Musso, L. Nicolodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862681985974009856 |
|---|---|
| author | Musso, E. Nicolodi, L. |
| author_facet | Musso, E. Nicolodi, L. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-07T15:51:03Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149108 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:51:03Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Musso, E. Nicolodi, L. 2019-02-19T17:26:21Z 2019-02-19T17:26:21Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/149108 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. This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”. The work was partially supported by MIUR projects: Metriche riemanniane e variet`a differenziabili (E.M.); Propriet`a geometriche delle variet`a reali e complesse (L.N.); and by the GNSAGA of INDAM. The authors would like to thank the referees for their useful comments and suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Symplectic Applicability of Lagrangian Surfaces Article published earlier |
| spellingShingle | Symplectic Applicability of Lagrangian Surfaces Musso, E. Nicolodi, L. |
| title | 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_short | Symplectic Applicability of Lagrangian Surfaces |
| title_sort | symplectic applicability of lagrangian surfaces |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149108 |
| work_keys_str_mv | AT mussoe symplecticapplicabilityoflagrangiansurfaces AT nicolodil symplecticapplicabilityoflagrangiansurfaces |