Characterizing Two-Dimensional Maps Whose Jacobians Have Constant Eigenvalues

DOI10.4153/CMB-2003-034-4zbMath1041.26004MaRDI QIDQ4465069

Marc Chamberland

Publication date: 27 May 2004

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

injectivityeigenvaluesMonge-Ampère equationJacobian conjecturereal-analytic map

Mathematics Subject Classification ID

Jacobian problem (14R15) Nonlinear elliptic equations (35J60) Second-order nonlinear hyperbolic equations (35L70) Implicit function theorems, Jacobians, transformations with several variables (26B10) Real-analytic functions (26E05)

Related Items (7)

An eigenvalue condition and the equivalence of two-dimensional maps ⋮ On global linearization of planar involutions ⋮ The discrete Markus-Yamabe problem for symmetric planar polynomial maps ⋮ On differentiable area-preserving maps of the plane ⋮ Global asymptotic stability for differentiable vector fields of \(\mathbb R^2\) ⋮ Foliations and polynomial diffeomorphisms of \(\mathbb R^3\) ⋮ Minimal surface systems, maximal surface systems and special Lagrangian equations

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