Real Polynomial Maps and Singular Open Books at Infinity

• Autores: Raimundo N. Araújo Dos Santos, Ying Chen, Mihai Tibar
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 118, Nº 1, 2016, págs. 57-69
• Idioma: inglés
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• Resumen

  • We provide significant conditions under which we prove the existence of stable open book structures at infinity, i.e. on spheres $S^{m-1}_R$ of large enough radius $R$. We obtain new classes of real polynomial maps $\mathsf{R}^m \to \mathsf{R}^p$ which induce such structures.