Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

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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Hauptverfasser:	Friedrich, Th, Kim, E. C
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Sprache:	eng
Schlagworte:	Mathematics - Differential Geometry
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creator	Friedrich, Th Kim, E. C
description	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].
doi_str_mv	10.48550/arxiv.0709.0780
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title	Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors
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