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 [2].
Keywords : Dirac operator, eigenvalues, Codazzi tensors
MSC numbers : Primary 53C25; Secondary 53C27
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