Journal of the
Korean Mathematical Society JKMS

Two compact Riemannian manifolds are said to be isospectral if the associated Laplace-Beltrami operators have the same eigenvalue spectrum. We describe a method, based on the used of Riemannian submersions, for constructing isospectral manifolds with different local geometry and survey examples constructed through this method.

Keywords: isospectral manifolds, Laplacian

MSC numbers: 58J50, 53C20