Asymptotic estimates of Dirac and Laplace eigenvalues on warped products over \(S^1\)

DOI10.1007/S00229-003-0406-0zbMath1033.58027OpenAlexW2003262914MaRDI QIDQ1416703

Margarita Kraus

Publication date: 16 December 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0406-0

zbMATH Keywords

Dirac operatorLaplace operatoreigenvalue estimatespace of spinorswarped product over \(S^1\)

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Spin and Spin({}^c) geometry (53C27) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Variational principles and eigenvalue estimates for unbounded block operator matrices and applications

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