The laplace operator on normal homogeneous Riemannian manifolds

DOI10.3103/S1055134410040012zbMath1249.53049OpenAlexW2094466976WikidataQ115223393 ScholiaQ115223393MaRDI QIDQ2880486

V. M. Svirkin, Valeriĭ Nikolaevich Berestovskiĭ

Publication date: 13 April 2012

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134410040012

zbMATH Keywords

characterspectrumLaplace operatorRiemannian submersiongroup representationspherical functionnormal homogeneous Riemannian manifold

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General topics in linear spectral theory for PDEs (35P05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Semisimple Lie groups and their representations (22E46) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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