Abstract
The Poincaré compactification is an extension of a polynomial vector field to a compact manifold. We generalize this construction to weight-homogeneous vector fields with weight exponent \((1,\ell )\) and different weight-degrees. Then we apply this generalization of the Poincaré compactification to obtain new developments in the real Jacobian conjecture.
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Valls, C. A Generalization of the Poincaré Compactification and the Real Jacobian Conjecture. J Dyn Diff Equat 36, 619–631 (2024). https://doi.org/10.1007/s10884-022-10149-y
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DOI: https://doi.org/10.1007/s10884-022-10149-y