A Geometric Solution to the Jacobian Problem
Abstract
In this article given a geometric solution to the well-known Jacobian problem. The twodimensional
polynomial Keller map is considered in four-dimensional Euclidean space R
4
. Used the concept
of parallel. A well-known example of Vitushkin is also considered. Earlier it was known that Vitushkin’s map
has a nonzero constant Jacobian and it is not injective. We will show that the Vitushkin map is not surjective
and moreover it has two inverse maps in the domain of its definition
Keywords
References
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