On Riemannian 3-manifolds with distinct constant Ricci eigenvalues
✍ Scribed by Oldřich Kowalski; Friedbert Prüfer
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 549 KB
- Volume
- 300
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
This paper contains a classification of all three-dimensional manifolds with constant eigenvalues of the Ricci tensor that carry a non-trivial solution of the Einstein-Dirac equation.
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
## Abstract We study the asymptotic behavior of the eigenvalues and the eigenfunctions of the Laplace–Beltrami operator on a Riemannian manifold __M__^ε^ depending on a small parameter ε>0 and whose structure becomes complicated as ε→0. Under a few assumptions on scales of __M__^ε^ we obtain the ho