A Geometric Solution to the Jacobian Problem

Kerimbayev Rashid KONYRBAYEVİCH

Article Details

A Geometric Solution to the Jacobian Problem

Authors:

Kerimbayev Rashid KONYRBAYEVİCH

Publisher:

Tokat Gaziosmanpasa University

Journal:

Journal of New Theory 2018 Issue 24, pp.44-49

Document Type:

Article

Publication Date:

8/2018

Document Language:

English

Document ID (Org No.):

2000490681

Frequency:

Quarterly

pISSN:

2149-1402

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

.

Article Details

A Geometric Solution to the Jacobian Problem

Authors: Kerimbayev Rashid KONYRBAYEVİCH

Publisher: Tokat Gaziosmanpasa University

Journal: Journal of New Theory 2018 Issue 24, pp.44-49

Document Type: Article

Publication Date: 8/2018

Document Language: English

Document ID (Org No.): 2000490681

Frequency: Quarterly

pISSN: 2149-1402

Issues

Authors:

Kerimbayev Rashid KONYRBAYEVİCH

Publisher:

Tokat Gaziosmanpasa University

Journal:

Journal of New Theory 2018 Issue 24, pp.44-49

Document Type:

Article

Publication Date:

8/2018

Document Language:

English

Document ID (Org No.):

2000490681

Frequency:

Quarterly

pISSN:

2149-1402