Global Injectivity ofC1Maps of the Real Plane, Inseparable Leaves and the Palais–Smale Condition
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Publication:5440605
DOI10.4153/CMB-2007-036-0zbMath1131.37026WikidataQ121833526 ScholiaQ121833526MaRDI QIDQ5440605
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Publication date: 5 February 2008
Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)
Palais-Smale conditionsufficient conditionshalf-Reeb componentHamiltonian planar vector fieldplanar Hamiltonian foliations
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Dynamics induced by flows and semiflows (37C10) Generic properties, structural stability of dynamical systems (37C20)
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On polynomial submersions of degree 4 and the real Jacobian conjecture in \(\mathbb{R}^2\) ⋮ Injectivity of non-singular planar maps with one convex component ⋮ Jacobian Conjecture and semi-algebraic maps ⋮ Foliations and global injectivity in \(\mathbb R^{n }\) ⋮ On global linearization of planar involutions ⋮ Asymptotic stability at infinity for bidimensional Hurwitz vector fields ⋮ On global invertibility of semi-algebraic local diffeomorphisms ⋮ Foliations, solvability, and global injectivity
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