On an n-dimensional asymptotically hyperbolic manifold with n > 2, we show that the essential spectrum of the Lichnerowicz Laplacian acting on trace free symmetric covariant two tensors is the ray [(n -1)(n -9)/4, +β[. For the particular case of the hyperbolic space, this is the spectrum.
Resolvent Estimates for the Laplacian on Asymptotically Hyperbolic Manifolds
β Scribed by Jean-Marc Bouclet
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 333 KB
- Volume
- 7
- Category
- Article
- ISSN
- 1424-0637
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