Scattering matrix in conformal geometry
β Scribed by C. Robin Graham; Maciej Zworski
- Publisher
- Springer-Verlag
- Year
- 2003
- Tongue
- English
- Weight
- 469 KB
- Volume
- 152
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
We study the conformal geometry of an oriented space-like surface in three-dimensional Lorentzian space forms. After introducing the conformal compactification of the Lorentzian space forms, we define the conformal Gauss map which is a conformally invariant two parameter family of oriented spheres.
We establish refinements of the classical Kato inequality for sections of a vector bundle which lie in the kernel of a natural injectively elliptic first-order linear differential operator. Our main result is a general expression which gives the value of the constants appearing in the refined inequa