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

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math.DG2025

Small eigenvalues of pseudo-Laplacians

Werner Ballmann, Sugata Mondal, Panagiotis Polymerakis

We extend the Otal-Rosas bound on the number of small eigenvalues of the Laplacian on a hyperbolic surface to the small eigenvalues of pseudo-Laplacians. In the process, we extend…

math.DG2025

On the spectral stability of finite coverings

Werner Ballmann, Sugata Mondal, Panagiotis Polymerakis

We prove the non-existence of new eigenvalues in $[0, Λ]$ for specific and random finite coverings of a complete and connected Riemannian manifold $M$ with Ricci curvature bounded f…