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Hess, H.; Schrader, R.; Uhlenbrock, D. A.

Kato’s inequality and the spectral distribution of Laplacians on compact Riemannian manifolds. (English) Zbl 0442.58032

J. Differ. Geom. 15, 27-37 (1980).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0442.58032

Cited in 45 Documents

MSC:

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

Keywords:

Dirac operator; Kato’s inequality; essential self-adjointness; Weitzenböck’s formula; Laplace-de Rham type operators; spinor type Laplacians; Hermitian vectorbundle over compact Riemannian manifold; comparison of Bochner Laplacian operator on sections to Laplace Beltrami operator on base manifold

Citations:

Zbl 0379.47028; Zbl 0246.35025
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