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Spectrum of the Lichnerowicz Laplacian on Asymptotically Hyperbolic Surfaces

✍ Scribed by Erwann Delay

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
360 KB
Volume
11
Category
Article
ISSN
1385-0172

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πŸ“œ SIMILAR VOLUMES

Essential spectrum of the Lichnerowicz L
Essential spectrum of the Lichnerowicz Laplacian on two tensors on asymptotically hyperbolic manifolds
✍ Erwann Delay πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 100 KB

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, +∞[. For the particular case of the hyperbolic space, this is the spectrum.