Eigenvalue estimates for the Dirac operator depending on the Weyl tensor

DOI10.1016/S0393-0440(01)00055-9zbMath1007.53039arXivmath/0105055OpenAlexW1595105194MaRDI QIDQ1602436

Klaus-Dieter Kirchberg, Thomas Friedrich

Publication date: 23 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/0105055

zbMATH Keywords

eigenvalueDirac operatorEinstein manifoldWeyl tensor

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items (5)

Two new estimates for eigenvalues of Dirac operators ⋮ Lower bounds for the first eigenvalue of the Dirac operator on compact Riemannian manifolds ⋮ \(\operatorname{Spin}^c\)-structures and Dirac operators on contact manifolds ⋮ \(\sigma_k\)-scalar curvature and eigenvalues of the Dirac operator ⋮ Curvature dependent lower bounds for the first eigenvalue of the Dirac operator

Cites Work

• The first eigenvalue of the Dirac operator on Kähler manifolds
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Eigenvalue estimates for the Dirac operator on quaternionic Kähler manifolds
• The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator
• Eigenvalue estimates of the Dirac operator depending on the Ricci tensor
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• A remark on the first eigenvalue of the Dirac operator on 4-dimensional manifolds

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