Complete gradient shrinking Ricci solitons with pinched curvature

Complete gradient shrinking Ricci solitons with pinched curvature
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DOI:
10.1007/s00208-012-0800-6
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发表时间:
2011-03
影响因子:
1.4
通讯作者:
G. Catino
G. Catino
中科院分区:
数学2区
文献类型:
--
作者:
G. Catino

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本文证明了任意维完全梯度收缩Ricci孤子是有限商的。特别是,我们不需要假设度量是局部共形平坦的。
We prove that anyn-dimensional complete gradient shrinking Ricci soliton with pinched Weyl curvature is a finite quotient ofor. In particular, we do not need to assume the metric to be locally conformally flat.