Eigenvalue estimates for Dirac operators coupled to instantons

DOI10.1007/BF02108297zbMath0823.34072OpenAlexW2003606562MaRDI QIDQ1892342

Helga Baum

Publication date: 5 July 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02108297

zbMATH Keywords

Dirac operator on a four-dimensional Riemannian spin manifold of positive curvaturelower bound for the first positive eigenvalue

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (5)

Coupling, spectral gap and related topics. II ⋮ The spectrum of the twisted Dirac operator on Kähler submanifolds of the complex projective space ⋮ \((1,1)\)-forms acting on spinors on Kähler surfaces ⋮ On the spectrum of the twisted Dolbeault Laplacian over Kähler manifolds ⋮ Lorentzian twistor spinors and CR-geometry

Cites Work

• A remark on the first eigenvalue of the Dirac operator on 4-dimensional manifolds
• Self-duality in four-dimensional Riemannian geometry
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