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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Bibliographic Details
Main Authors:	Lorenzo Nicolodi, Emilio Musso
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2009-06-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	Lagrangian surfaces affine symplectic geometry moving frames differential invariants applicability
Online Access:	http://dx.doi.org/10.3842/SIGMA.2009.067

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spelling	doaj-c3ea9566c48f4fd8a3c4b3262b8622f92020-11-24T21:25:13ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-06-015067Symplectic Applicability of Lagrangian SurfacesLorenzo NicolodiEmilio MussoWe 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.http://dx.doi.org/10.3842/SIGMA.2009.067Lagrangian surfacesaffine symplectic geometrymoving framesdifferential invariantsapplicability
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Lorenzo Nicolodi Emilio Musso
spellingShingle	Lorenzo Nicolodi Emilio Musso Symplectic Applicability of Lagrangian Surfaces Symmetry, Integrability and Geometry: Methods and Applications Lagrangian surfaces affine symplectic geometry moving frames differential invariants applicability
author_facet	Lorenzo Nicolodi Emilio Musso
author_sort	Lorenzo Nicolodi
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	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2009-06-01
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.
topic	Lagrangian surfaces affine symplectic geometry moving frames differential invariants applicability
url	http://dx.doi.org/10.3842/SIGMA.2009.067
work_keys_str_mv	AT lorenzonicolodi symplecticapplicabilityoflagrangiansurfaces AT emiliomusso symplecticapplicabilityoflagrangiansurfaces
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Symplectic Applicability of Lagrangian Surfaces

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