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17 p, 1.8 MB Half-Reeb components, Palais-Smale condition and global injectivity of local diffeomorphisms in R3 / Braun, Francisco (Universidade Federal de Sao Carlos. Departamento de Matemática) ; Venato-Santos, Jean (Universidade Federal de Uberlândia. Faculdade de Matemática)
Let F = (F1, F2, F3): R3 → R3 be a C∞ local diffeomorphism. We prove that each of the following conditions are sufficient to the global injectivity of F: A) The foliations FFi made up by the connected components of the level surfaces Fi = constant, consist of leaves without half-Reeb components induced by Fj , j ∈ {1, 2, 3} \ {i}, for i ∈ {1, 2, 3}. [...]
2014 - 10.5565/PUBLMAT_Extra14_04
Publicacions matemàtiques, Vol. Extra, Núm. (2014) , p. 63-79  

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2 Venato-Santos, Jean
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