English

Injectivity of non-singular planar maps with one convex component

Dynamical Systems 2021-07-27 v1

Abstract

We prove that if a non-singular planar map ΛC2(R2,R2)\Lambda \in C^2(R^2,R^2) has a convex component, then Λ\Lambda is injective. We do not assume strict convexity.

Cite

@article{arxiv.2107.12043,
  title  = {Injectivity of non-singular planar maps with one convex component},
  author = {Marco Sabatini},
  journal= {arXiv preprint arXiv:2107.12043},
  year   = {2021}
}
R2 v1 2026-06-24T04:31:06.732Z