Eigenvalues estimates for the Dirac operator in terms of Codazzi tensors
Bull. Korean Math. Soc. 2008 Vol. 45, No. 2, 365-373 Printed June 1, 2008
Thomas Friedrich and Eui Chul Kim Humboldt-Universit
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 .