Eigenvalue Estimates For The Dirac Operator On Kaehler-Einstein Manifolds Of Even Complex Dimension

Details Eigenvalue Estimates For The Dirac Operator On Kaehler-Einstein Manifolds Of Even Complex Dimension Eigenvalue Estimates For The Dirac Operator On Kaehler-Einstein Manifolds Of Even Complex Dimension

2009-12-08

arxiv.org/abs/0912.1451v1

Mathematics

Differential Geometry

10 pages

Scientific paper

In K\"ahler-Einstein case 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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