Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds

DOI10.4310/jdg/1214435380zbMath0442.58032OpenAlexW1572488935WikidataQ115188968 ScholiaQ115188968MaRDI QIDQ1143699

D. A. Uhlenbrock, H. Hess, Robert Schrader

Publication date: 1980

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214435380

zbMATH Keywords

Dirac operatoressential self-adjointnessKato's inequalitycomparison of Bochner Laplacian operator on sections to Laplace Beltrami operator on base manifoldHermitian vectorbundle over compact Riemannian manifoldLaplace-de Rham type operatorsspinor type LaplaciansWeitzenböck's formula

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Groups and semigroups of linear operators (47D03) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

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