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Inequalities of eigenvalues for the Dirac operator on compact complex spin submanifolds in complex projective spaces

✍ Scribed by Daguang Chen; Hejun Sun


Publisher
Coastal and Estuarine Research Federation
Year
2008
Tongue
English
Weight
213 KB
Volume
29
Category
Article
ISSN
1860-6261

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An estimate for the first eigenvalue of
✍ B. Alexandrov; G. Grantcharov; S. Ivanov πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 492 KB

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,