On the topology of leaves of singular Riemannian foliations

• Marco Radeschi ^[1] ; Elahe Khalili Samani ^[1]
  1. [1] University of Notre Dame

     University of Notre Dame

     Township of Portage, Estados Unidos

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 40, Nº 1, 2024, págs. 111-128
• Idioma: inglés
• DOI: 10.4171/RMI/1435
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• Resumen

  • In this paper, we establish a number of results about the topology of the leaves of a closed singular Riemannian foliation (M,F). If M is simply connected, we prove that the leaves are finitely covered by nilpotent spaces, and characterize the fundamental group of the generic leaves. If M has virtually nilpotent fundamental group, we prove that the leaves have virtually nilpotent fundamental group as well.