arXiv:0912.1451 Abstract | arXiv Analytics

arXiv:0912.1451 [math.DG]Abstract References Reviews Resources

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

Published 2009-12-08Version 1

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.

Comments: 10 pages

Categories: math.DG

Subjects: 53C27, 58J50, 83C60

Keywords: dirac operator, complex dimension, eigenvalue estimates, kaehler-einstein manifolds, lower bound

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