Spectral theory in Riemannian geometry

DOI10.4171/151zbMath1328.53001OpenAlexW1924866971MaRDI QIDQ2256932

Olivier Lablée

Publication date: 23 February 2015

Published in: EMS Textbooks in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/151

zbMATH Keywords

Riemannian geometryeigenvaluesinverse problemsspectral theoryLaplacianlinear operatorsspectral geometryanalysis on manifoldsspectrum of operators

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Variational problems in a geometric measure-theoretic setting (49Q20) Spectrum, resolvent (47A10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Spectral theory and eigenvalue problems for partial differential equations (35Pxx) Isospectrality (58J53) Variational methods for eigenvalues of operators (49R05)

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