Commutativity of flows and injectivity of nonsingular mappings

M. Sabatini

Annales Polonici Mathematici (2001)

  • Volume: 76, Issue: 1-2, page 159-168
  • ISSN: 0066-2216

Abstract

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A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ℝ² is described.

How to cite

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M. Sabatini. "Commutativity of flows and injectivity of nonsingular mappings." Annales Polonici Mathematici 76.1-2 (2001): 159-168. <http://eudml.org/doc/280388>.

@article{M2001,
abstract = {A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ℝ² is described.},
author = {M. Sabatini},
journal = {Annales Polonici Mathematici},
keywords = {nonsingular mappings; Jacobian maps; plane Hamiltonian systems; Jacobian conjecture; real plane},
language = {eng},
number = {1-2},
pages = {159-168},
title = {Commutativity of flows and injectivity of nonsingular mappings},
url = {http://eudml.org/doc/280388},
volume = {76},
year = {2001},
}

TY - JOUR
AU - M. Sabatini
TI - Commutativity of flows and injectivity of nonsingular mappings
JO - Annales Polonici Mathematici
PY - 2001
VL - 76
IS - 1-2
SP - 159
EP - 168
AB - A relationship between jacobian maps and the commutativity properties of suitable couples of hamiltonian vector fields is studied. A theorem by Meisters and Olech is extended to the nonpolynomial case. A property implying the Jacobian Conjecture in ℝ² is described.
LA - eng
KW - nonsingular mappings; Jacobian maps; plane Hamiltonian systems; Jacobian conjecture; real plane
UR - http://eudml.org/doc/280388
ER -

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