arXiv Analytics

Sign in

arXiv:0709.0780 [math.DG]AbstractReferencesReviewsResources

Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

Th. Friedrich, E. C. Kim

Published 2007-09-06Version 1

We prove a lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold depending on the scalar curvature as well as a chosen Codazzi tensor. The inequality generalizes the classical estimate from [2].

Comments: 8 pages
Categories: math.DG
Subjects: 53C25, 53C27
Related articles: Most relevant | Search more
arXiv:math/0603676 [math.DG] (Published 2006-03-29)
Some extensions of the Einstein-Dirac equation
arXiv:math/0201279 [math.DG] (Published 2002-01-29)
A relation between the Ricci tensor and the spectrum of the Dirac operator
arXiv:1502.05252 [math.DG] (Published 2015-02-18)
Eigenvalue estimates of the spin^c Dirac operator and harmonic forms on kähler-Einstein manifolds

Links

Toolbox