5 problems

Let $M$ be a complete Riemannian manifold with nonnegative sectional curvature, and let $\mathcal{F}$ be a singular Riemannian foliation on $M$. The dual foliation is the foliation…

Let $\mathcal{F}$ be a complete singular Riemannian foliation, and let $\mathscr{C}_{\mathcal{F}}$ be the locally constant sheaf of Lie algebras associated with its structural theo…

Let $\cal F$ be a Riemannian foliation with bounded holonomy, and suppose that no leaf has infinite fundamental group. Let $H_p$ denote the holonomy group at $p$. Bounded-holonomy…

Let $\cal F$ be a Riemannian foliation, let $H_p$ denote the holonomy group at $p$, and let $\mathcal V_p$ be the corresponding vertical space. The inclusion…

Let $M$ be a compact manifold with positive curvature, and let $\cal F$ be a Riemannian foliation on $M$. A horizontal vector is a vector tangent to the horizontal distribution of…