Properties of Kählerian twistor-spinors and vanishing theorems

DOI10.1007/BF01444720zbMath0735.53051OpenAlexW2032318510MaRDI QIDQ811521

Klaus-Dieter Kirchberg

Publication date: 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164962

zbMATH Keywords

conservation lawspin manifoldKilling fieldKählerian twistor-spinor

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55)

Related Items (5)

Twistor spinors and quasi-twistor spinors ⋮ 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) ⋮ The Dolbeault operator on Hermitian spin surfaces ⋮ Eigenvalues of the transversal Dirac operator on Kähler foliations ⋮ The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator

Cites Work

• The first eigenvalue of the Dirac operator on Kähler manifolds
• Compact six-dimensional Kähler spin manifolds of positive scalar curvature with the smallest possible first eigenvalue of the Dirac operator
• The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator
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