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Symplectic Applicability of Lagrangian Surfaces
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5
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Symplectic Applicability of Lagrangian Surfaces
Інший ID:
2000 Mathematics Subject Classification: 53A07; 53B99; 53D12; 53A15
Посилання:
Symplectic Applicability of Lagrangian Surfaces / E. Musso, L. Nicolodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 24 назв. — англ.
Підтримка:
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.
Дата:
2009
Переглядів:
334
Завантажень:
216
Анотація:
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.
