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;

D O I：

暂无

中图分类号：

学科分类号：

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.

引用

页码：1 / 7

页数：6

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