|
This article is cited in 2 scientific papers (total in 2 papers)
The Jacobian conjecture: structure of Keller mappings
V. V. Starkov Petrozavodsk State University,
33 Lenina pr., Petrozavodsk 185910, Russia
Abstract:
The Jacobian conjecture was first formulated by O. N. Keller in 1939.
In the modern form it supposes injectivity of the polynomial mapping $f: \Bbb R^n \to \Bbb R^n$ ($\Bbb C^n \to \Bbb C^n$)
under the assumption that $J_f\equiv const\ne0$.
In this paper, we consider the structure of polynomial mappings $f$ with $J_f\equiv const \ne0$.
Keywords:
Jacobian conjecture, Keller mapping.
Received: 23.08.2019 Revised: 25.10.2019 Accepted: 25.10.2019
Citation:
V. V. Starkov, “The Jacobian conjecture: structure of Keller mappings”, Probl. Anal. Issues Anal., 8(26):3 (2019), 152–165
Linking options:
https://www.mathnet.ru/eng/pa281 https://www.mathnet.ru/eng/pa/v26/i3/p152
|
Statistics & downloads: |
Abstract page: | 134 | Full-text PDF : | 40 | References: | 13 |
|