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math.DG2020
On the differential form spectrum of geometrically finite orbifolds
Werner Ballmann, Panagiotis Polymerakis
We derive lower bounds for the essential spectrum of the Hodge-Laplacian on geometrically finite orbifolds and their suborbifolds.
math.DG2020
Spectral estimates for Riemannian submersions with fibers of basic mean curvature
Panagiotis Polymerakis
For Riemannian submersions with fibers of basic mean curvature, we compare the spectrum of the total space with the spectrum of a Schrödinger operator on the base manifold. Exploit…
math.DG2020
Equivariant discretizations of diffusions and harmonic functions of bounded growth
Werner Ballmann, Panagiotis Polymerakis
For covering spaces and properly discontinuous actions with compatible diffusion operators, we discuss Lyons-Sullivan discretizations of the associated diffusions and harmonic func…