Determination of a Riemannian Metric from the First Variation of Its Spectrum

DOI10.2307/2374358zbMath0577.58032OpenAlexW2327588629WikidataQ115228818 ScholiaQ115228818MaRDI QIDQ3697947

David D. Bleecker

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/2374358

zbMATH Keywords

asymptotic expansionspectral decompositionspectrum of the Laplace operatoranalytic perturbation of holomorphic semigroupsfirst variation with respect to the metricgeometrical properties of Riemannian manifoldWidom symbolic calculus

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) Global Riemannian geometry, including pinching (53C20) Manifolds of metrics (especially Riemannian) (58D17)

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