A Geometric Solution to the Jacobian Problem

Year 2018, Issue: 24, 44 - 49, 14.08.2018

Kerimbayev Rashid Konyrbayevich

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

Geometric Solution, Jacobian Problem

References

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