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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 067, 18 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.067 (Mi sigma413) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Symplectic Applicability of Lagrangian Surfaces

Emilio Mussoa, Lorenzo Nicolodib

a Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy
b Dipartimento di Matematica, Università degli Studi di Parma, Viale G. P. Usberti 53/A, I-43100 Parma, Italy
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DOI: https://doi.org/10.3842/SIGMA.2009.067
Abstract: 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.
Keywords: Lagrangian surfaces; affine symplectic geometry; moving frames; differential invariants; applicability.
Received: February 25, 2009; in final form June 15, 2009; Published online June 30, 2009
Bibliographic databases:
Document Type: Article
MSC: 53A07; 53B99; 53D12; 53A15
Language: English
Citation: Emilio Musso, Lorenzo Nicolodi, “Symplectic Applicability of Lagrangian Surfaces”, SIGMA, 5 (2009), 067, 18 pp.
Citation in format AMSBIB
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\by Emilio Musso, Lorenzo Nicolodi
\paper Symplectic Applicability of Lagrangian Surfaces
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\papernumber 067
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