Compact six-dimensional Kähler spin manifolds of positive scalar curvature with the smallest possible first eigenvalue of the Dirac operator

DOI10.1007/BF01457018zbMath0628.53061OpenAlexW2036404103MaRDI QIDQ1093190

Klaus-Dieter Kirchberg

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164455

zbMATH Keywords

flag manifoldDirac operatorfoliationprojective spacetwistor spacepositive scalar curvatureKähler spin manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items

Killing spinors on Kähler manifolds, The first eigenvalue of the Dirac operator on compact Kähler manifolds, Complex contact structures and the first eigenvalue of the Dirac operator on Kähler manifolds, Coupling, spectral gap and related topics. II, Spinorial description of \(\mathrm{SU}(3)\)- and \(\mathrm{G}_2\)-manifolds, Dirac eigenvalue estimates on two-tori, Eigenvalue estimates for the Dirac operator on Kähler-Einstein manifolds of even complex dimension, 7-dimensional compact Riemannian manifolds with Killing spinors, An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form, The classification of 4-dimensional Kähler manifolds with small eigenvalue of the Dirac operator, The first eigenvalue of the Dirac operator on Kähler manifolds, Eigenvalues of the Dirac operator on compact Kähler manifolds, Properties of Kählerian twistor-spinors and vanishing theorems

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