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Paper detail

Lagrangian Curves in Affine Symplectic 4-space

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.

preprint2013arXivOpen access
Emilio MussoEvelyne Hubert
math.SGmath.DG
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Emilio MussoEvelyne Hubert

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