Lagrangian Curves in a 4-Dimensional Affine Symplectic Space |
| |
Authors: | Emilio Musso Evelyne Hubert |
| |
Institution: | 1. Departement of Mathematical Sciences, Politecnico di Torino, Turin, Italy 2. GALAAD, INRIA Méditerranée, Sophia Antipolis, France
|
| |
Abstract: | Lagrangian curves in \(\mathbb {R}^{4}\) 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 Lagrangian curves with constant symplectic curvatures, to construct a class of Lagrangian tori in \(\mathbb {R}^{4}\) and determine Lagrangian geodesics. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|