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.
Cite this article
Renato J. M. e Silva, Llohann D. Sperança, On the completeness of dual foliations on nonnegatively curved symmetric spaces. Rev. Mat. Iberoam. 38 (2022), no. 3, pp. 851–856DOI 10.4171/RMI/1287