4 papers
Do the Hodge spectra distinguish orbifolds from manifolds? Part 2
Katie Gittins, Carolyn Gordon, Ingrid Membrillo Solis +3
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on -forms by computing the heat…
Mean Curvature and the Wave Invariants of the Basic Spectrum for a Riemannian Foliation
M. R. Sandoval
Given a (possibly singular) Riemannian foliation with closed leaves on a compact manifold with an adapted metric, we investigate the wave trace invariants for the…
The Wave Trace Invariants of the Spectrum of the -Invariant Laplacian
M. R. Sandoval
Given a compact boundaryless Riemannian manifold on which a compact Lie group acts, there is always a metric on such that the action is by isometries. Assuming is e…
The Singularities of the Wave Trace of the Basic Laplacian of a Riemannian Foliation
M. R. Sandoval
We apply techniques of microlocal analysis to the study of the transverse geometry of Riemannian foliations in order to analyze spectral invariants of the basic Laplacian acting on…