Eigenvalue estimates of the Dirac operator depending on the Ricci tensor

Details Eigenvalue estimates of the Dirac operator depending on the Ricci tensor Eigenvalue estimates of the Dirac operator depending on the Ricci tensor

2001-04-11

arxiv.org/abs/math/0104121v1

Mathematics

Differential Geometry

Latex2.09, 15 pages

Scientific paper

We prove a new lower bound for the first eigenvalue of the Dirac operator on
a compact Riemannian spin manifold by refined Weitzenb\"ock techniques. It
applies to manifolds with harmonic curvature tensor and depends on the Ricci
tensor. Examples show how it behaves compared to other known bounds.

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