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Lower estimates for the first eigenvalue of the Laplace operator on doubly connected domains in a Riemannian manifold

โœ Scribed by Klaser, Patricia K.; Ripoll, Jaime B.


Book ID
118798553
Publisher
Springer
Year
2011
Tongue
English
Weight
219 KB
Volume
160
Category
Article
ISSN
0046-5755

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An estimate for the first eigenvalue of
โœ B. Alexandrov; G. Grantcharov; S. Ivanov ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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,