paper

Extrinsic eigenvalue estimates of the Dirac operator

arXiv:math/0701847

Abstract

For a compact spin manifold isometrically embedded into Euclidean space, we derive the extrinsic estimates from above and below for eigenvalues of the Dirac operators, which depend on the second fundamental form of the embedding. We also show the bounds of the ratio of the eigenvalues.

12pages,submitted to "Math.Z.", Jun 2006

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Extrinsic eigenvalue estimates of the Dirac operator · wovepaper