Spin manifolds, Killing spinors and universality of the Hijazi inequality

DOI10.1007/BF00401162zbMath0624.53034OpenAlexW2139471516WikidataQ56443155 ScholiaQ56443155MaRDI QIDQ578615

André Lichnerowicz

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf00401162

zbMATH Keywords

Dirac operatorKilling spinorsconformal changeharmonic spinorsHijazi inequalityspin-manifolds

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Cites Work

• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Der erste Eigenwert des Dirac‐Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung
• Unnamed Item

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