Remarks on the Real Jacobian Conjecture and Samuelson maps Original Research Article

A criterion for a Samulson map to be injective and a criterion for such a map to be a global diffeomorphism are established. The criteria are used to clarify some examples of nonpolynomial Samuelson maps with nonzero constant Jacobian determinant that arise from ploynomial and other differentiable mappings of real n-space with nowhere vanishing Jacobian determinant.