THE FIRST EIGENVALUE OF THE DIRAC OPERATOR IN A CONFORMAL CLASS

DOI10.1142/S0219887806001533zbMath1121.53033OpenAlexW1968822981MaRDI QIDQ3426874

Emmanuel Humbert, Bernd Ammann

Publication date: 13 March 2007

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887806001533

zbMATH Keywords

eigenvalueDirac operatorconformal class.

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Lower eigenvalue estimates for Dirac operators
• Conformal deformation of a Riemannian metric to constant scalar curvature
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Eigenvalue bounds for the Dirac operator
• Extrinsic bounds for eigenvalues of the Dirac operator
• On the spinor representation of surfaces in Euclidean \(3\)-space
• Generic metrics and connections on spin- and \(\text{spin}^c\)-manifolds
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Harmonic spinors
• The Dirac operator on space forms of positive curvature
• The Yamabe problem
• Critical metrics for the determinant of the Laplacian in odd dimensions

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