Wave Invariants of the Spectrum of theG-Invariant Laplacian and the Basic Spectrum of a Riemannian Foliation

DOI10.1080/03605300802289261zbMath1158.58016OpenAlexW2040878276MaRDI QIDQ3603836

M. R. Sandoval

Publication date: 19 February 2009

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300802289261

zbMATH Keywords

wave equationfoliation\(G\)-manifoldbasic Laplacianbasic spectruminvariant spectrum

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Compact Lie groups of differentiable transformations (57S15) Spectral theory; eigenvalue problems on manifolds (58C40) (G)-structures (53C10)

Related Items (2)

The wave trace of the basic Laplacian of a Riemannian foliation near a non-zero period ⋮ The spectral function of a Riemannian orbifold

Cites Work

• Unnamed Item
• Homogeneous quantization and multiplicities of group representations
• The singularities of the wave trace of the basic Laplacian of a Riemannian foliation
• Stratified symplectic spaces and reduction
• The spectrum of positive elliptic operators and periodic bicharacteristics
• Riemannian foliations and eigenvalue comparison
• The asymptotics of heat kernels on Riemannian foliations
• Lichnerowicz and Obata theorems for foliations.
• Kuznecov Sum Formulae and Szegˇ Limit Formulae on Manifolds
• The basic Laplacian of a Riemannian foliation

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