The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds

DOI10.1007/s12220-015-9666-7zbMath1353.35295arXiv1501.06165OpenAlexW2963492717MaRDI QIDQ345319

Peter D. Hislop, Megan E. Gier

Publication date: 1 December 2016

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

Full work available at URL: https://arxiv.org/abs/1501.06165

zbMATH Keywords

multiplicityeigenvaluesformsHodge LaplacianBeltrami operatorDe Rham complex

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbation theory of linear operators (47A55) PDEs on manifolds (35R01)

Cites Work

• On the multiplicity of eigenvalues of conformally covariant operators
• A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order
• A unique continuation theorem for exterior differential forms on Riemannian manifolds
• High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows
• On the spectrum of geometric operators on Kähler manifolds
• Pseudo-laplaciens. II
• Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds
• Splitting the Spectrum of a Riemannian Manifold
• Genericity of Simple Eigenvalues for Elliptic PDE's
• Generic Properties of Eigenfunctions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The multiplicity of eigenvalues of the Hodge Laplacian on 5-dimensional compact manifolds