Abstract
We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, we can recover several known results in this direction.
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The author cordially thanks the referees for their careful reading and helpful comments.
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Chen, Y. Lower bounds for the eigenvalue estimates of the submanifold Dirac operator. Math. Z. 299, 2443–2460 (2021). https://doi.org/10.1007/s00209-021-02752-4
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DOI: https://doi.org/10.1007/s00209-021-02752-4