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- W1964013757 abstract "Let $${Y=(f,g,h){:} mathbb{R}^{3} to mathbb{R}^{3}}$$ be a C 2 map and let Spec(Y) denote the set of eigenvalues of the derivative DY p , when p varies in $${mathbb{R}^3}$$ . We begin proving that if, for some ϵ > 0, $${Spec(Y)cap (-epsilon,epsilon)=emptyset,}$$ then the foliation $${mathcal{F}(k),}$$ with $${kin {f,g,h},}$$ made up by the level surfaces {k = constant}, consists just of planes. As a consequence, we prove a bijectivity result related to the three-dimensional case of Jelonek’s Jacobian Conjecture for polynomial maps of $${mathbb{R}^n.}$$" @default.
- W1964013757 created "2016-06-24" @default.
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- W1964013757 date "2008-07-15" @default.
- W1964013757 modified "2023-09-25" @default.
- W1964013757 title "Foliations and polynomial diffeomorphisms of $${mathbb{R}^{3}}$$" @default.
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- W1964013757 doi "https://doi.org/10.1007/s00209-008-0393-7" @default.
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