Article contents
Curvature Bounds for the Spectrum of Closed Einstein Spaces
Published online by Cambridge University Press: 20 November 2018
Extract
The following is our main result.
(A) THEOREM. Let (M, g) be a closed connected Einstein space, n = dim M ≧ 2 (with constant scalar curvature R). Let K0 be the lower bound of the sectional curvature. Then either (M, g) is isometrically diffeomorphic to a sphere and the first nonzero eigenvalue ƛ1of the Laplacian fulfils
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 1978
References
- 4
- Cited by