Symplectic Applicability of Lagrangian Surfaces

Details Symplectic Applicability of Lagrangian Surfaces Symplectic Applicability of Lagrangian Surfaces

2009-06-30

arxiv.org/abs/0906.5607v1

SIGMA 5 (2009), 067, 18 pages

Mathematics

Differential Geometry

Scientific paper

10.3842/SIGMA.2009.067

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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