Eigenvalues Estimates For The Dirac Operator In Terms Of Codazzi Tensors

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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Bibliographische Detailangaben
Hauptverfasser: Friedrich, Th, Kim, E. C
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Differential Geometry
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Zusammenfassung: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:10.48550/arxiv.0709.0780