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OnLp-Resolvent Estimates and the Density of Eigenvalues for Compact Riemannian Manifolds

✍ Scribed by Bourgain, Jean; Shao, Peng; Sogge, Christopher D.; Yao, Xiaohua


Book ID
125342300
Publisher
Springer
Year
2014
Tongue
English
Weight
632 KB
Volume
333
Category
Article
ISSN
0010-3616

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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,