REMARKS ON THE REAL JACOBIAN CONJECTURE AND SAMUELSON MAPS

Authors
CAMPBELL LA
Citation
La. Campbell, REMARKS ON THE REAL JACOBIAN CONJECTURE AND SAMUELSON MAPS, Applied mathematics letters, 10(4), 1997, pp. 1-3
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied mathematics letters → ACNP
ISSN journal
08939659
Volume
10
Issue
4
Year of publication
1997
Pages
1 - 3
Database
ISI
SICI code
0893-9659(1997)10:4<1:ROTRJC>2.0.ZU;2-6
Abstract
A criterion for a Samulson map to be injective and a criterion for suc h a map to be a global diffeomorphism are established. The criteria ar e used to clarify some examples of nonpolynomial Samuelson maps with n onzero constant Jacobian determinant that arise from ploynomial and ot her differentiable mappings of real n-space with nowhere vanishing Jac obian determinant.