Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension

Eigenvalue estimates for the Dirac operator on Kähler–Einstein manifolds of even complex dimension

In the case of a Kähler–Einstein manifold of positive scalar curvature and even complex dimension, an improved lower bound for the first eigenvalue of the Dirac operator is given. It is shown by a general construction that there are manifolds for which this new lower bound itself is the first eigenv...

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Veröffentlicht in:Annals of global analysis and geometry 2010-10, Vol.38 (3), p.273-284
1. Verfasser: Kirchberg, K.-D.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Differential Geometry
Eigenvalues
Estimates
Geometry
Global Analysis and Analysis on Manifolds
Mathematical analysis
Mathematical Physics
Mathematics
Mathematics and Statistics
Original Paper
Studies
Topological manifolds
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Zusammenfassung:In the case of a Kähler–Einstein manifold of positive scalar curvature and even complex dimension, an improved lower bound for the first eigenvalue of the Dirac operator is given. It is shown by a general construction that there are manifolds for which this new lower bound itself is the first eigenvalue.
ISSN:0232-704X
1572-9060
DOI:10.1007/s10455-010-9212-6