Eigenvalue Estimate on a Compact Riemannian Manifold
β Scribed by Roger Chen
- Book ID
- 121263534
- Publisher
- John Hopkins University Press
- Year
- 1989
- Tongue
- English
- Weight
- 501 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0002-9327
- DOI
- 10.2307/2374880
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π SIMILAR VOLUMES
The ΓΏrst nonlinear eigenvalue of the p-Laplacian (p ΒΏ 2) is investigated for a compact manifold of nonnegative Ricci curvature with or without boundary. Lower bound estimates are given by the diameter or the inscribed radius. The key ingredients in proofs are the formula of Bochner-Weitz onbeck type
## Abstract For eigenvalues of generalized Dirac operators on compact Riemannian manifolds, we obtain a general inequality. By using this inequality, we study eigenvalues of generalized Dirac operators on compact submanifolds of Euclidean spaces, of spheres, and of real, complex and quaternionic pr