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초록
A rigidity result of the complete n-dimensional spin Ricci flat manifolds admitting a certain smooth S-1 action is proved, provided that the action has fixed points and the metric is asymptotically flat. Such manifolds are isometric to the n-dimensional Riemannian Schwarzschild metric.
키워드
Ricci flat; Riemannian Schwarzschild metric; asymptotically flat; isometric action
- 제목
- A rigidity theorem for Ricci flat metrics
- 저자
- Hwang, Seungsu
- 발행일
- 1998-06
- 유형
- Article
- 권
- 71
- 호
- 1
- 페이지
- 5 ~ 17