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.
https://hal.inria.fr/hal-00818823
Contributor : Evelyne Hubert
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Submitted on : Sunday, December 22, 2013 - 5:43:28 PM
Last modification on : Saturday, January 27, 2018 - 1:31:40 AM
Long-term archiving on : Monday, March 24, 2014 - 9:15:43 AM
