A Lower Bound for the First Non-zero Basic Eigenvalue on a Singular Riemannian Foliation

In the paper, we provide a lower bound of the first non-zero basic eigenvalue on a closed singular Riemannian manifold $(M^n,\mathcal{F})$ having basic mean curvature that depends on the given lower bound of the Ricci curvature $Ric(M)\geq (n-1)K$ and the diameter of the leaf space $d_{M/\mathcal{F}