Eigenvalues of the Dirac operator on compact Kähler manifolds

DOI10.1007/BF02173430zbMath0794.53042WikidataQ126082989 ScholiaQ126082989MaRDI QIDQ1319917

Oussama Hijazi

Publication date: 1 September 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Dirac operatorfirst eigenvalueKählerian twistor operatorsspin Kähler manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Index theory and related fixed-point theorems on manifolds (58J20)

Related Items (13)

Twistor spinors and quasi-twistor spinors ⋮ The first eigenvalue of the Dirac operator on compact Kähler manifolds ⋮ The twisted \(\mathrm{Spin}^c\) Dirac operator on Kähler submanifolds of the complex projective space ⋮ The evolution of the Dirac field in curved space-times ⋮ Immersions minimales et immersions pluriharmoniques entre variétés riemanniennes: résultats de non existence et de rigidité. (Minimal and pluriharmonic immersions between Riemannian manifolds: non-existence and rigidity results) ⋮ Kählerian twistor spinors ⋮ Eigenvalue estimate of the basic Dirac operator on a Kähler foliation ⋮ Dirac operators on Lagrangian submanifolds ⋮ Eigenvalue estimates for the Dirac operator on Kähler-Einstein manifolds of even complex dimension ⋮ Spin\(^{c}\) geometry of Kähler manifolds and the Hodge Laplacian on minimal Lagrangian sub\-manifolds ⋮ The first eigenvalue of the Kohn-Dirac operator on CR manifolds ⋮ Kähler manifolds with small eigenvalues of the Dirac operator and a conjecture of Lichnerowicz ⋮ Eigenvalues of the transversal Dirac operator on Kähler foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spin manifolds, Killing spinors and universality of the Hijazi inequality
• 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
• Compact six-dimensional Kähler spin manifolds of positive scalar curvature with the smallest possible first eigenvalue of the Dirac operator
• An estimation for the first eigenvalue of the Dirac operator on closed Kähler manifolds of positive scalar curvature
• Harmonic spinors
• Clifford modules
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Clifford and Spinor Cohomology of Kahler Manifolds

This page was built for publication: Eigenvalues of the Dirac operator on compact Kähler manifolds