Diffeomorphic real-analytic maps and the Jacobian conjecture.

DOI10.1016/S0895-7177(00)00167-9zbMath1095.26512WikidataQ123195754 ScholiaQ123195754MaRDI QIDQ1591042

Marc Chamberland

Publication date: 2000

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

injectivityJacobian conjecturepolymorphismsMarkus-Yamabe conjecture

Mathematics Subject Classification ID

Jacobian problem (14R15) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Real-analytic functions (26E05)

Related Items (4)

An eigenvalue condition and the equivalence of two-dimensional maps ⋮ Injectivity of non-singular planar maps with disconnecting curves in the eigenvalues space ⋮ Injectivity and almost global asymptotic stability of Hurwitz vector fields ⋮ On differentiable area-preserving maps of the plane

Cites Work

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• Jacobian problems in differential equations and algebraic geometry
• Keller's problem
• A counterexample to the strong real Jacobian conjecture
• A solution to the bidimensional global asymptotic stability conjecture
• Injective Morphisms of Real Algebraic Varieties
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• A Mountain Pass to the Jacobian Conjecture
• Chebyshev-Haar systems in the theory of discontinuous Kellogg kernels
• Injective Polynomial Maps are Automorphisms
• A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
• Geometrical conditions for the stability of orbits in planar systems
• On the Jacobian conjecture

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