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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Published in | Annals of global analysis and geometry Vol. 38; no. 3; pp. 273 - 284 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
Dordrecht
Springer Netherlands
01.10.2010
Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 0232-704X 1572-9060 |
DOI: | 10.1007/s10455-010-9212-6 |