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2-nodal domain theorems for higher-dimensional circle bundles

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Publication:6652692
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DOI10.4171/JST/530MaRDI QIDQ6652692

Junehyuk Jung, Steve Zelditch

Publication date: 13 December 2024

Published in: Journal of Spectral Theory (Search for Journal in Brave)




zbMATH Keywords

eigenfunctionsgeneric propertiesnodal domainLaplacian eigenfunctionsnodal geometry


Mathematics Subject Classification ID

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


Cites Work

  • Generic properties of the eigenvalue of the Laplacian for compact Riemannian manifolds
  • Fat bundles and symplectic manifolds
  • Laplacians and Riemannian submersions with totally geodesic fibres
  • Boundedness of the number of nodal domains for eigenfunctions of generic Kaluza-Klein 3-folds
  • Generic Properties of Eigenfunctions
  • On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere
  • Topology of the Nodal Set of Random Equivariant Spherical Harmonics on 𝕊3
  • Spectral multiplicity and nodal domains of torus-invariant metrics







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