On the completeness of dual foliations on nonnegatively curved symmetric spaces

• Renato J. M. e Silva ^[1] ; Llohann D. Sperança ^[2]
  1. [1] Estatística e Computação Científica – UNICAMP, Campinas
  2. [2] São José Dos Campos
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 38, Nº 3, 2022, págs. 851-856
• Idioma: inglés
• DOI: 10.4171/RMI/1287
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• Resumen

  • We prove Wilking’s conjecture about the completeness of dual leaves for the case of Riemannian foliations on nonnegatively curved symmetric spaces. Moreover, we conclude that such foliations split as a product of trivial foliations and a foliation with a single dual leaf.