The \(\hat {A}\)-genus and symmetry of the Dirac spectrum on Riemannian product manifolds

DOI10.1016/j.difgeo.2006.11.009zbMath1144.53319OpenAlexW2058176293WikidataQ115357785 ScholiaQ115357785MaRDI QIDQ2641705

Eui Chul Kim

Publication date: 23 August 2007

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2006.11.009

zbMATH Keywords

symmetryspectrumDirac operator

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (4)

Eigenvalue estimates for generalized Dirac operators on Sasakian manifolds ⋮ Unnamed Item ⋮ Estimates of small Dirac eigenvalues on 3-dimensional Sasakian manifolds ⋮ The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds

Cites Work

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• Spectrum of the Dirac operator on complex projective space \(P_{2q- 1}({\mathbb{C}})\)
• The Dirac operator on nilmanifolds and collapsing circle bundles
• Harmonic spinors
• The Dirac operator on space forms of positive curvature
• Simply connected manifolds of positive scalar curvature
• Metrics with harmonic spinors
• Zur Abhängigkeit des Dirac-operators von der Spin-Struktur
• Spectral asymmetry and Riemannian Geometry. I
• Champs spinoriels et propagateurs en relativité générale

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