Vanishing Theorems and Eigenvalue Estimates in Riemannian Spin Geometry

DOI10.1142/S0129167X97000433zbMath0897.58005OpenAlexW1982369391WikidataQ115246467 ScholiaQ115246467MaRDI QIDQ4374338

Oussama Hijazi, Thomas P. Branson

Publication date: 8 October 1998

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

Full work available at URL: https://doi.org/10.1142/s0129167x97000433

zbMATH Keywords

Dirac operatoreigenvalue estimatesvanishing theoremsspinor bundleRiemannian spin geometryconformally covariant differential operatorrepresentation theory of the spin group

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Invariance and symmetry properties for PDEs on manifolds (58J70) Spin and Spin({}^c) geometry (53C27) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (5)

BOCHNER–WEITZENBÖCK FORMULAS ASSOCIATED WITH THE RARITA–SCHWINGER OPERATOR ⋮ Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds ⋮ IMPROVED FORMS OF SOME VANISHING THEOREMS IN RIEMANNIAN SPIN GEOMETRY ⋮ Refined Kato inequalities and conformal weights in Riemannian geometry ⋮ Bochner identities for Kählerian gradients

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