An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds
β Scribed by Helga Baum
- Book ID
- 110559398
- Publisher
- Springer-Verlag
- Year
- 1991
- Tongue
- French
- Weight
- 527 KB
- Volume
- 206
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
In this paper we will prove new extrinsic upper bounds for the eigenvalues of the Dirac operator on an isometrically immersed surface M 2 ~ ~3 as well as intrinsic bounds for two-dimensional compact manifolds of genus zero and genus one. Moreover, we compare the different estimates of the eigenvalue
An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold of positive scalar curvature admitting a parallel one-form is found. The possible universal covering spaces of the manifolds on which the smallest possible eigenvalue is attained are also listed. Moreover,