English

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

Differential Geometry 2009-12-09 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0912.1451,
  title  = {Eigenvalue Estimates For The Dirac Operator On Kaehler-Einstein Manifolds Of Even Complex Dimension},
  author = {K. -D. Kirchberg},
  journal= {arXiv preprint arXiv:0912.1451},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T14:20:59.100Z