Asymptotically flat 4-manifolds
β Scribed by Stefan Unnebrink
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 323 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0926-2245
No coin nor oath required. For personal study only.
β¦ Synopsis
Studying noncompact manifolds with a flatness property, there is the notion of an asymptotically Euclidean manifold, and there is the notion of an asymptotically flat manifold which is defined in terms of curvature decay. Asymptotically Euclidean manifolds are asymptotically flat, but we shall see that in dimension 4 there exists an asymptotically flat example that is not asymptotically Euclidean.
π SIMILAR VOLUMES
We show that the wave group on asymptotically hyperbolic manifolds belongs to an appropriate class of Fourier integral operators. Then we use now standard techniques to analyze its (regularized) trace. We prove that, as in the case of compact manifolds without boundary, the singularities of the regu