Symplectic Applicability of Lagrangian Surfaces
Differential Geometry
2009-07-01 v1
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.
Cite
@article{arxiv.0906.5607,
title = {Symplectic Applicability of Lagrangian Surfaces},
author = {Emilio Musso and Lorenzo Nicolodi},
journal= {arXiv preprint arXiv:0906.5607},
year = {2009}
}