Abstract
In this paper we generalize the results of Part I to the submanifoldDirac operator. In particular, we give optimal lower bounds for thesubmanifold Dirac operator in terms of the mean curvature and othergeometric invariants as the Yamabe number or the energy-momentum tensor.In the limiting case, we prove that the submanifold is Einstein if thenormal bundle is flat.
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Hijazi, O., Zhang, X. Lower Bounds for the Eigenvalues of the Dirac Operator: Part II. The Submanifold Dirac Operator. Annals of Global Analysis and Geometry 20, 163–181 (2001). https://doi.org/10.1023/A:1011663603699
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DOI: https://doi.org/10.1023/A:1011663603699