✦ LIBER ✦
On the absolutely continuous spectrum of the Laplace–Beltrami operator acting on p -forms for a class of warped product metrics
✍ Scribed by Francesca Antoci
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 270 KB
- Volume
- 279
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for p ‐forms for the class of warped product metrics dσ ^2^ = y ^2__a__^ dy ^2^ + y ^2__b__^ dθ ^2^, where y is a boundary defining function on the unit ball B (0, 1) in ℝ^N^ . (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)