Asymptotically Euclidean ends of Ricci flat manifolds, and conformal inversions

Authors
Kuhnel, W Rademacher, B
Citation
W. Kuhnel et B. Rademacher, Asymptotically Euclidean ends of Ricci flat manifolds, and conformal inversions, MATH NACHR, 219, 2000, pp. 125-134
Citations number
11
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
219
Year of publication
2000
Pages
125 - 134
Database
ISI
SICI code
0025-584X(2000)219:<125:AEEORF>2.0.ZU;2-G
Abstract
We prove that a Ricci flat end of a Riemannian manifold is asymptotically E uclidean if it is obtained from a smooth metric by a conformal inversion. A number of consequences are discussed.