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On a stability of essential spectra of Laplace operators on non-compact Riemannian manifolds

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Publication:1163287
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DOI10.3792/PJAA.56.425zbMath0483.58019OpenAlexW2020192500WikidataQ115219979 ScholiaQ115219979MaRDI QIDQ1163287

Kenro Furutani

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.425


zbMATH Keywords

stability of the essential spectrum of the Laplacian on a complete Riemannian manifold under compact perturbation of the metric


Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Differential complexes (58J10)


Related Items (1)

On an inclusion of the essential spectrum of Laplacians under non-compact change of metric




Cites Work

  • Unnamed Item
  • Carleman estimates for the Laplace-Beltrami equation on complex manifolds
  • Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
  • The Harmonic Operator for Exterior Differential Forms




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