A note on locally conformally flat gradient Ricci solitons

被引：0
|
作者：
Manuel Fernández-López
Eduardo García-Río
机构：
[1] University of Santiago de Compostela,Faculty of Mathematics
来源：
Geometriae Dedicata | 2014年 / 168卷
关键词：
Gradient Ricci soliton; Conformally flat; Weyl tensor; Warped product; 53C25;
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摘要：
We show that locally conformally flat gradient Ricci solitons, possibly incomplete, are locally isometric to a warped product of an interval and a space form. Consequently, we get that complete gradient shrinking and steady Ricci solitons with vanishing Weyl tensor are rotationally symmetric, from which their classification follows.
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页码：1 / 7
页数：6
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