Feuilletages en droites, équations des eikonales et aures équations différentielles

2005/05/27 by Dominique Cerveau, Cerveau, Dominique
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Nonlinear Differential Equations Analysis #Polynomial and algebraic computation #math.DS #msc:32M25 #msc:78A05

paper · pdf · doi:10.48550/arxiv.math/0505601

in french

arxiv created 2005/05/27 · arxiv updated 2009/12/01

Abstract

We study complex vector fields with straight lines trajectories. Some applications to rational solutions of ikonals equations are given

Related

• Limiting behavior of trajectories of complex polynomial vector fields
• Solvability of Planar Complex Vector Fields with Homogeneous Singularities
• Proper trajectories of type C* of a polynomial vector field on C2
• Application of complex-valued functions in plane differential geometry and kinematics
• Remarks on rational vector fields on \mathbb C\mathbb P¹