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
Primary Language | en |
---|---|
Journal Section | Research Article |
Authors | |
Dates |
Publication Date : August 14, 2018 |
Bibtex | @research article { jnt462787,
journal = {Journal of New Theory},
issn = {2149-1402},
eissn = {2149-1402},
address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.},
publisher = {Gaziosmanpasa University},
year = {2018},
volume = {},
pages = {44 - 49},
doi = {},
title = {A Geometric Solution to the Jacobian Problem},
key = {cite},
author = {KONYRBAYEVİCH, Kerimbayev Rashid}
} |
APA | KONYRBAYEVİCH, K . (2018). A Geometric Solution to the Jacobian Problem. Journal of New Theory , (24) , 44-49 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/38869/462787 |
MLA | KONYRBAYEVİCH, K . "A Geometric Solution to the Jacobian Problem". Journal of New Theory (2018 ): 44-49 <https://dergipark.org.tr/en/pub/jnt/issue/38869/462787> |
Chicago | KONYRBAYEVİCH, K . "A Geometric Solution to the Jacobian Problem". Journal of New Theory (2018 ): 44-49 |
RIS | TY - JOUR T1 - A Geometric Solution to the Jacobian Problem AU - Kerimbayev Rashid KONYRBAYEVİCH Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 44 EP - 49 VL - IS - 24 SN - 2149-1402-2149-1402 M3 - UR - Y2 - 2020 ER - |
EndNote | %0 Journal of New Theory A Geometric Solution to the Jacobian Problem %A Kerimbayev Rashid KONYRBAYEVİCH %T A Geometric Solution to the Jacobian Problem %D 2018 %J Journal of New Theory %P 2149-1402-2149-1402 %V %N 24 %R %U |
ISNAD | KONYRBAYEVİCH, Kerimbayev Rashid . "A Geometric Solution to the Jacobian Problem". Journal of New Theory / 24 (August 2018): 44-49 . |
AMA | KONYRBAYEVİCH K . A Geometric Solution to the Jacobian Problem. JNT. 2018; (24): 44-49. |
Vancouver | KONYRBAYEVİCH K . A Geometric Solution to the Jacobian Problem. Journal of New Theory. 2018; (24): 49-44. |