We give a sharp estimate for the bottom of the spectrum of a Riemannian manifold which is foliated by minimal leaves and transversally negatively curved. Our proof, which uses probabilistic methods, also yields an estimate for the bottom of the sub-Riemannian spectrum.
Natural Almost Hermitian Structures on Conformally Foliated 4-Dimensional Lie Groups with Minimal Leaves
Sharp estimate on the first eigenvalue of the p-Laplacian on compact manifold with nonnegative Ricci curvature
A sharp estimate for the bottom of the spectrum of the Laplacian on Kähler manifolds
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