On the fundamental tone of the -Laplacian on Riemannian manifolds and applications
arXiv:2301.12215 · doi:10.1016/j.jmaa.2021.125703
Abstract
We present a general lower bound for the fundamental tone for the -Laplacian on Riemannian manifolds carrying a special kind of function. We then apply our result to the cases of negatively curved simply connected manifolds, a class of warped product manifolds and for a class of Riemannian submersions.