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
Contributeur : Evelyne Hubert
<>
Soumis le : dimanche 22 décembre 2013 - 17:43:28
Dernière modification le : samedi 27 janvier 2018 - 01:31:40
Document(s) archivé(s) le : lundi 24 mars 2014 - 09:15:43
