In this paper, we prove that lightlike geodesics of a pseudo-Finsler manifold and its focal
points are preserved up to reparametrization by anisotropic conformal changes, using the …

Given a path geometry on a surface $\mathcal {U} $, we construct a causal structure on a
four-manifold which is the configuration space of non-incident pairs (point, path) on …

Deformations of dispersionless Lax systems - IOPscience This site uses cookies. By continuing
to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies …

Given a 3-dimensional CR structure or a path geometry on a surface, its family of chains
define a 3-dimensional path geometry. In this article we provide necessary and sufficient …

We study the Schwarzian derivative from a variational viewpoint. In particular, we show that
the Schwarzian derivative defines a first integral of the Euler–Lagrange equation of a …

We define a class of curves, referred to as Lewy curves, in para-CR geometry, following H.
Lewy's original definition in CR geometry. We give a characterization of path geometries …

We extend the recent paradigm “Integrability via Geometry” from dimensions 3 and 4 to
higher dimensions, relating dispersionless integrability of partial differential equations to …

Abstract We study GL (2)‐structures on differential manifolds. AGL (2)‐structure is a smooth
field of rational normal curves in the tangent bundle of a manifold. We provide an explicit …