Riemannian submersions with discrete spectrum

DOI10.1007/s12220-010-9207-3zbMath1257.58018arXiv1001.0853OpenAlexW2097564644WikidataQ115376899 ScholiaQ115376899MaRDI QIDQ692157

M. C. Fu

Publication date: 4 December 2012

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0853

zbMATH Keywords

essential spectrumdiscrete spectrumRiemannian submersions

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Manifolds of mappings (58D15)

Related Items (12)

Exponential asymptotic stability for the Klein Gordon equation on non-compact Riemannian manifolds ⋮ Coverings preserving the bottom of the spectrum ⋮ On the spectrum of differential operators under Riemannian coverings ⋮ On the Steklov spectrum of covering spaces and total spaces ⋮ Stochastic properties of the Laplacian on Riemannian submersions ⋮ Parabolicity of invariant surfaces ⋮ Normal covering spaces with maximal bottom of spectrum ⋮ Spectrum Estimates and Applications to Geometry ⋮ Spectral estimates for Riemannian submersions with fibers of basic mean curvature ⋮ Eigenvalue estimates for submanifolds of warped product spaces ⋮ The adiabatic limit of Schrödinger operators on fibre bundles ⋮ Spectral estimates and discreteness of spectra under Riemannian submersions

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