The first Dirac eigenvalues on manifolds with positive scalar curvature

DOI10.1090/S0002-9939-04-07427-1zbMath1053.58012arXivmath/0305277WikidataQ124969812 ScholiaQ124969812MaRDI QIDQ4813764

Christian Bär, Mattias Dahl

Publication date: 13 August 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0305277

zbMATH Keywords

Riemannian metriceigenvalueDirac operatorspin manifoldpositive scalar curvatureFriedrich's estimate

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (6)

Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length ⋮ The Dirac operator on manifold admitting parallel one-form ⋮ Lower bounds for the eigenvalue estimates of the submanifold Dirac operator ⋮ Manifolds with small Dirac eigenvalues are nilmanifolds ⋮ The Dirac operator on locally reducible Riemannian manifolds ⋮ Eigenvalue estimate for the Dirac-Witten operator on locally reducible Riemannian manifolds

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