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초록
We obtain C1-continuous paths of explicit Riemannianmetrics gt, 0 t < ", whose scalar curvatures s(gt) decrease, whereg0 is aat metric, i.e. a metric with vanishing curvature. Most ofthem can exist on tori of dimension 3. Some of them yield scalarcurvature decrease on a ball in the Euclidean space.
키워드
negative scalar curvature; total scalar curvature; scalar curvature functional
- 제목
- A Note On Decreasing Scalar Curvature from flat metrics
- 저자
- 김종수
- 발행일
- 2013-12
- 저널명
- 호남수학학술지
- 권
- 35
- 호
- 4
- 페이지
- 647 ~ 655