Let M be a compact Riemannian manifold with smooth boundary OM. We 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 curvatures of OM. We discuss the equality, which is attained precisely on certain model sp
General formula for lower bound of the first eigenvalue on Riemannian manifolds
β Scribed by Mufa Chen; Fengyu Wang
- Publisher
- SP Science China Press
- Year
- 1997
- Tongue
- English
- Weight
- 479 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1674-7283
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