Extrinsic eigenvalue estimates of the Dirac operator

Details Extrinsic eigenvalue estimates of the Dirac operator Extrinsic eigenvalue estimates of the Dirac operator

2007-01-29

arxiv.org/abs/math/0701847v1

Mathematics

Differential Geometry

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

Scientific paper

For a compact spin manifold $M$ 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.

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