Emilio Musso, Lorenzo Nicolodi, “Symplectic Applicability of Lagrangian Surfaces”, SIGMA, 5 (2009), 067, 18 pp.

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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 Musso^a, Lorenzo Nicolodi^b

^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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This publication is cited in the following 5 articles:

Jensen J.O., Kruglikov B., “Differential Invariants of Linear Symplectic Actions”, Symmetry-Basel, 12:12 (2020), 2023
Gabrielyan D., “Forecasting Inflation Using the Phillips Curve in Inflation Targeting Countries”, Int. Rev. Appl. Econ., 33:5 (2019), 601–623
Esra ÇİÇEK ÇETİN, Mehmet BEKTAŞ, “Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space”, Communications in Advanced Mathematical Sciences, 2:4 (2019), 331
Musso E. Hubert E., “Lagrangian Curves in a 4-Dimensional Affine Symplectic Space”, Acta Appl. Math., 134:1 (2014), 133–160
Dennis The, “Conformal geometry of surfaces in the Lagrangian Grassmannian and second-order PDE”, Proc London Math Soc, 104:1 (2012), 79–122

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Symmetry, Integrability and Geometry: Methods and Applications

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References:	27

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