A hyperbolic concurrency theorem
β Scribed by J. Chris Fisher; Dieter Ruoff
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 342 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0047-2468
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π SIMILAR VOLUMES
It is proved that a non-simply-connected complete hyperbolic manifold cannot be isometrically immersed in a Euclidean space with a flat normal connection. In particular, the complete hyperbolic manifold M" with ~1 (M) # 0 cannot be isometrically immersed in IW2n-'.
We prove a topological Paley Wiener theorem for the Fourier transform defined on the real hyperbolic spaces SO o ( p, q)ΓSO o ( p&1, q), for p, q # 2N, without restriction to K-types. We also obtain Paley Wiener type theorems for L \_ -Schwartz functions (0<\_ 2) for fixed K-types.