The Dirac operator on manifold admitting parallel one-form

DOI10.1016/j.geomphys.2017.04.001zbMath1365.53048OpenAlexW2605928300MaRDI QIDQ2628390

Yong-Fa Chen

Publication date: 1 June 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2017.04.001

zbMATH Keywords

eigenvalueDirac operatorscalar curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (4)

Lower bounds for the eigenvalue estimates of the submanifold Dirac operator ⋮ The Dirac operator on locally reducible Riemannian manifolds ⋮ A Kastler-Kalau-Walze type theorem for the \(J\)-twist \(D_J\) of the Dirac operator ⋮ The J-twist DJ of the Dirac operator and the Kastler–Kalau–Walze type theorem for six-dimensional manifolds with boundary

Cites Work

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• An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form
• Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds
• Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length
• The first Dirac eigenvalues on manifolds with positive scalar curvature
• Eigenvalues of the Kählerian Dirac operator

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