Laplacians and Riemannian submersions with totally geodesic fibres

Lionel Bérard Bergery, Jean-Pierre Bourguignon

Publication date: 1982

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Faber-Krahn inequality number of nodal domains spectral properties of the Laplacian Laplace-Beltrami operator on a compact Riemannian manifold maximal multiplicity of the first eigenvalue Riemannian submersions with totally geodesic fibres vertical Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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