Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

Mathematics – Differential Geometry

Scientific paper

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8 pages

Scientific paper

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].

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