Injectivity of non-singular planar maps with one convex component
Volume 69 / 2021
Bulletin Polish Acad. Sci. Math. 69 (2021), 107-113
MSC: Primary 34C05; Secondary 37E30.
DOI: 10.4064/ba220103-28-2
Published online: 9 March 2022
Abstract
We prove that if a non-singular planar map $\Lambda \in C^2(\mathbb R^2,\mathbb R^2)$ has a convex component, then it is injective. We do not assume strict convexity.
