Killing spinors, twistor-spinors and Hijazi inequality

DOI10.1016/0393-0440(88)90011-3zbMath0678.53018OpenAlexW2067622171WikidataQ125801138 ScholiaQ125801138MaRDI QIDQ1124126

André Lichnerowicz

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0393-0440(88)90011-3

zbMATH Keywords

surveyKilling spinorsconformal changespin manifoldsHijazi inequalitytwistor-spinors

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27)

Related Items (17)

Higher-degree Dirac currents of twistor and Killing spinors in supergravity theories ⋮ Twistor spinors and quasi-twistor spinors ⋮ A singularity theorem for twistor spinors ⋮ Conformal completion of \(\mathbb{U}(n)\)-invariant Ricci-flat Kähler metrics at infinity ⋮ Unnamed Item ⋮ Extended superalgebras from twistor and Killing spinors ⋮ Twistor spinors and extended conformal superalgebras ⋮ Twistorial eigenvalue estimates for generalized Dirac operators with torsion ⋮ Twistor sections of Dirac bundles ⋮ Twistor spinors with zero on Lorentzian 5-space ⋮ Asymptotically Euclidean Ends of Ricci Flat Manifolds, and Conformal Inversions ⋮ Spinor connections and geometrization of fermions ⋮ Supersymmetry on curved spaces and holography ⋮ Symmetry operators of Killing spinors and superalgebras in AdS5 ⋮ Generalized symmetry superalgebras ⋮ Twistor spinors and gravitational instantons ⋮ Lorentzian twistor spinors and CR-geometry

Cites Work

• Spin manifolds, Killing spinors and universality of the Hijazi inequality
• On the first eigenvalue of the Dirac operator on 6-dimensional manifolds
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Scalar curvature and conformal deformation of Riemannian structure
• The Yamabe problem
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn><mml:mn /></mml:math>Supergravity Breaks Down to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>
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