Comparisons of Laplace spectra, length spectra and geodesic flows of some Riemannian manifolds
Comparisons of Laplace spectra, length spectra and geodesic flows of some Riemannian manifolds
The goal of this article is to discuss relationships between the Laplace spectrum, the length spectrum and the geodesic flow of compact Riemannian manifolds. We will say two compact Riemannian manifolds M1 and M2 are Laplace isospectral if the associated Laplace-Beltrami operators, acting on smooth functions, have the same eigenvalue …