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A Geometric Solution to the Jacobian Problem
ISSN: 2149 - 1402
Publisher: author
A Geometric Solution to the Jacobian Problem
Indexed in
Science General
ARTICLE-FACTOR
1.3
Article Basics Score: 3
Article Transparency Score: 2
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 3
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International Category Code (ICC):
ICC-1402
Publisher: Journal Of New Theory Naim Çağman
International Journal Address (IAA):
IAA.ZONE/214976971402
eISSN
:
2149 - 1402
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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.
