We prove that if a non-singular planar map Λ∈C^2(ℝ^2,ℝ^2) has a convex component, then it is injective. We do not assume strict convexity.
Injectivity of non-singular planar maps with one convex component / Sabatini, Marco. - In: BULLETIN OF THE POLISH ACADEMY OF SCIENCES. MATHEMATICS. - ISSN 1732-8985. - STAMPA. - 2021, 69:(2021), pp. 107-113. [10.4064/ba220103-28-2]
Injectivity of non-singular planar maps with one convex component
Sabatini, Marco
2021-01-01
Abstract
We prove that if a non-singular planar map Λ∈C^2(ℝ^2,ℝ^2) has a convex component, then it is injective. We do not assume strict convexity.File in questo prodotto:
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SABATINI_Injectivity_Convex_Component after referee.pdf
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