On global diffeomorphisms of euclidian space

DOI10.1016/0362-546X(93)90117-BzbMath0807.57017OpenAlexW2095012357MaRDI QIDQ4291625

Patrick J. Rabier

Publication date: 8 March 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90117-b

zbMATH Keywords

critical pointlocal diffeomorphismadmissible flowsglobal diffeomorphisms of \(R^ n\)

Mathematics Subject Classification ID

Related Items (11)

On the construction of global coordinate systems in Euclidean spaces ⋮ Estimating invertible domains of diffeomorphisms ⋮ Two characterizations of diffeomorphisms of Euclidean space. ⋮ Non-positive curvature and global invertibility of maps ⋮ On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers ⋮ Fibrations and global injectivity of local homeomorphisms ⋮ Criteria for the global invertibility of \(C^{1}\) functions between Banach spaces ⋮ Global inversion and covering maps on length spaces ⋮ Global Surjectivity of Submersions Via Contractibility of the Fibers ⋮ A version of Rolle's theorem and applications ⋮ Fibrations of real valued functions

Cites Work

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• Analytic functional mappings
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• The palais-smale condition versus coercivity
• Global inversion theorems and applications to differential equations
• Homeomorphisms Between Banach Spaces
• Compact analytic mappings of B‐spaces and a theorem of Jane Cronin
• Local Mapping Relations and Global Implicit Function Theorems
• On Solving Nonlinear Equations with a One-Parameter Operator Imbedding
• An exact sequence in differential topology
• Über mehrdeutige stetige Abbildungen
• Ganze Cremona-Transformationen
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