Estimates for eigenvalues on Riemannian manifolds (Q1032876)
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scientific article; zbMATH DE number 5625441
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for eigenvalues on Riemannian manifolds |
scientific article; zbMATH DE number 5625441 |
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Estimates for eigenvalues on Riemannian manifolds (English)
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5 November 2009
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The authors study the eigenvalue problem for the Laplacian operator with homogeneous Dirichlet boundary condition on a bounded domain in a finite dimensional complete Riemannian manifold. Estimates related to the lower bound of eigenvalues are established taking into account their dependence on the domain. In addition, the authors prove a universal inequality for eigenvalues on a bounded domain in the hyperbolic space with constant curvature \(-1\).
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lower bound for eigenvalues of Laplacian
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Riemannian manifolds
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universal inequality for eigenvalues
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hyperbolic space
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0.9715902
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0.96434623
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0.95500517
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0.94630563
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0.9452605
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