Bounds for the first eigenvalue of the horizontal Laplacian in positively curved sub-Riemannian manifolds
โ Scribed by Robert K. Hladky
- Book ID
- 121479812
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Weight
- 238 KB
- Volume
- 164
- Category
- Article
- ISSN
- 0046-5755
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๐ SIMILAR VOLUMES
We give some lower bounds for the first eigenvalue of the p-Laplace operator on compact Riemannian manifolds with positive (or non-negative) Ricci curvature in terms of diameter of the manifolds. For compact manifolds with boundary, we consider the Dirichlet eigenvalue with some proper geometric hyp
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