Comment on GL(2,R) geometry of 4th order ODEs

2007/10/08 by Nurowski, Pawel
#34C30 #34C31 #53A40 #53B05 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0710.1658

Abstract

We describe 4th order ODEs satisfying two contact invariant conditions of Bryant in terms of the Ricci tensor of a certain gl(2,R) valued connection. We also provide nonhomogeneous examples of such ODEs.

Related

• GL(2,R) geometry of ODE's
• Projective connections associated with second order ODEs
• Canonical frames for Gl(2)-structures
• Quadratic closed G2-structures
• The geometry of second-order ordinary differential equations