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Spectral instability of coverings

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Ballmann, W. and Mondal, S. orcid id iconORCID: https://orcid.org/0000-0002-2236-971X (2024) Spectral instability of coverings. International Mathematics Research Notices, 2025 (1). rnae259. ISSN 1687-0247 doi: 10.1093/imrn/rnae259

Abstract/Summary

We study the behaviour of eigenvalues, below the bottom of the essential spectrum, of the Laplacian under finite Riemannian coverings of complete and connected Riemannian manifolds. We define spectral stability and instability of such coverings. Among others, we provide necessary conditions for stability or, equivalently, sufficient conditions for instability.

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Item Type Article
URI https://reading-clone.eprints-hosting.org/id/eprint/120274
Identification Number/DOI 10.1093/imrn/rnae259
Refereed Yes
Divisions Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher Oxford University Press
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