A Geometric Solution to the Jacobian Problem

Authors : Kerimbayev Rashid KONYRBAYEVİCH

Pages : 44-49

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Publication Date : 2018-08-14

Article Type : Research Paper

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