English

Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

Differential Geometry 2007-09-07 v1

Abstract

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].

Keywords

Cite

@article{arxiv.0709.0780,
  title  = {Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors},
  author = {Th. Friedrich and E. C. Kim},
  journal= {arXiv preprint arXiv:0709.0780},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-06-21T09:14:26.592Z