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arXiv · 1305.3092

Lagrangian Curves in Affine Symplectic 4-space

Emilio Musso·Evelyne Hubert
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Abstract

Lagrangian curves in 4-space entertain intriguing relationships with second order deformation of plane curves under the special affine group and null curves in a 3-dimensional Lorentzian space form. We provide a natural affine symplectic frame for Lagrangian curves. It allows us to classify Lagrangrian curves with constant symplectic curvatures, to construct a class of Lagrangian tori and determine Lagrangian geodesics.

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Emilio Musso, Evelyne Hubert. 2013-12-22. Lagrangian Curves in Affine Symplectic 4-space. https://arxiv.org/abs/1305.3092

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