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arXiv · 0906.5607

Symplectic Applicability of Lagrangian Surfaces

Emilio Musso·Lorenzo Nicolodi
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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.

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Emilio Musso, Lorenzo Nicolodi. 2009-06-30. Symplectic Applicability of Lagrangian Surfaces. https://doi.org/10.3842/sigma.2009.067

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