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arXiv · 2010.13016

Lower bounds for the eigenvalue estimates of the submanifold Dirac operator

Yongfa Chen
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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, one gets several known results in this direction.

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Yongfa Chen. 2020-10-25. Lower bounds for the eigenvalue estimates of the submanifold Dirac operator. https://arxiv.org/abs/2010.13016

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