On the completeness of dual foliations on nonnegatively curved symmetric spaces

2020/06/20 by Renato J. M. e Silva, Silva, Renato J. M. e, Llohann D. Sperança +1 · 1 citation
Mathematics · #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities #Advanced Differential Equations and Dynamical Systems

paper · pdf · doi:10.48550/arxiv.2006.13809

Abstract

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.

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• The dual foliation of polar actions on nonnegatively curved manifolds

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