Panagiotis Polymerakis

activity

20172025

most citedOn the Spectrum of Certain Hadamard Manifolds

2 citations · 3 across the 19 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.DG2018

Coverings preserving the bottom of the spectrum

Panagiotis Polymerakis

We prove that if a Riemannian covering preserves the bottom of the spectrum of a Schrödinger operator, which belongs to the discrete spectrum of the operator on the base manifold,…

math.DG2018

Bottom of spectra and amenability of coverings

Werner Ballmann, Henrik Matthiesen, Panagiotis Polymerakis

For a Riemannian covering $π : M_{1} \to M_{0}$ , the bottoms of the spectra of $M_{0}$ and $M_{1}$ coincide if the covering is amenable. The converse implication does not always hold. A…

math.DG2018

On the spectrum of differential operators under Riemannian coverings

Panagiotis Polymerakis

For a Riemannian covering $p : M_{2} \to M_{1}$ , we compare the spectrum of an essentially self-adjoint differential operator $D_{1}$ on a bundle $E_{1} \to M_{1}$ with the sp…