Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds (Q1914051)
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scientific article; zbMATH DE number 883876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds |
scientific article; zbMATH DE number 883876 |
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Bounds for the first Dirichlet eigenvalue attained at an infinite family of Riemannian manifolds (English)
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11 September 1997
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Let \(M\) be a compact Riemannian manifold with smooth boundary \(\partial M\). The authors get bounds for the first eigenvalue of the Dirichlet eigenvalue problem on \(M\) in terms of bounds of the sectional curvature of \(M\) and the normal curvature of \(\partial M\). Similar results hold for Kähler manifolds.
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Riemannian manifold
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Dirichlet eigenvalue problem
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sectional curvature
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