Periodic Riemannian manifold with preassigned gaps in spectrum of Laplace-Beltrami operator

DOI10.1016/j.jde.2011.10.011zbMath1252.58016arXiv1105.2431OpenAlexW1972464004MaRDI QIDQ657459

Andrii Khrabustovskyi

Publication date: 16 January 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.2431

zbMATH Keywords

edges of gapsperiodic manifolds with spectral gaps

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (7)

Complete manifolds with bounded curvature and spectral gaps ⋮ Spectral gaps of the Laplacian on differential forms ⋮ Opening up and control of spectral gaps of the Laplacian in periodic domains ⋮ Creating and controlling band gaps in periodic media with small resonators ⋮ Gaps in the spectrum of the Neumann Laplacian generated by a system of periodically distributed traps ⋮ Neumann spectral problem in a domain with very corrugated boundary ⋮ Periodic quantum graphs with predefined spectral gaps

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