A global curvature pinching result of the first eigenvalue of the Laplacian on Riemannian manifolds (Q369793)
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scientific article; zbMATH DE number 6209219
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A global curvature pinching result of the first eigenvalue of the Laplacian on Riemannian manifolds |
scientific article; zbMATH DE number 6209219 |
Statements
A global curvature pinching result of the first eigenvalue of the Laplacian on Riemannian manifolds (English)
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19 September 2013
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Summary: The paper starts with a discussion involving the Sobolev constant on geodesic balls and then follows with a derivation of a lower bound for the first eigenvalue of the Laplacian on manifolds with small negative curvature. The derivation involves Moser iteration.
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Sobolev constant
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geodesic balls
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Moser iteration
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0.9256798
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0.92328346
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0.9212928
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0.9179758
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0.9130653
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0.91184145
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0.90818524
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