paper

Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

arXiv:0709.0780

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].

8 pages

Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors · wovepaper