Suppose that f is an eigenfunction of -D with eigenvalue l ] 0. It is proved that where n is the dimension of M and c 1 depends only upon a bound for the absolute value of the sectional curvature of M and a lower bound for the injectivity radius of M. It is then shown that if M admits an isometric
Lower bounds for eigenfunctions on Riemannian manifolds
β Scribed by Harold Donnelly
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 835 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
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We shall discuss Riemannian metrics of fixed diameter and controlled lower curvature bound. As in [34], we give a general construction of invariant metrics on homogeneous vector bundles of cohomogeneity one, which implies, in particular, that any cohomogeneity one manifold admits invariant metrics o