Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein 3-folds

DOI10.5802/aif.3329zbMath1469.58019arXiv1806.04712OpenAlexW3037947498WikidataQ126031225 ScholiaQ126031225MaRDI QIDQ2656652

Junehyuk Jung, Steven Zelditch

Publication date: 16 March 2021

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.04712

zbMATH Keywords

principal bundlenodal domainKaluza-Klein metriceigenfunction of the Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differentials on Riemann surfaces (30F30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Number of nodal domains of eigenfunctions on non-positively curved surfaces with concave boundary
• Nodal domains of Maass forms. I
• Isolated singularities of binary differential equations of degree \(n\)
• Logarithmic lower bound on the number of nodal domains
• Laplacians and Riemannian submersions with totally geodesic fibres
• Arithmetic, zeros, and nodal domains on the sphere
• A generalization of the Gauss-Bonnet-Hopf-Poincaré formula for sections and branched sections of bundles
• Totally geodesic maps
• Nondegeneracy of the eigenvalues of the Hodge Laplacian for generic metrics on 3-manifolds
• Generic Properties of Eigenfunctions
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
• Quantum unique ergodicity and the number of nodal domains of eigenfunctions
• Sign Changes of the Eisenstein Series on the Critical Line
• Möbius orthogonality for generalized Morse-Kakutani flows
• Number of nodal domains and singular points of eigenfunctions of negatively curved surfaces with an isometric involution