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On the structure of gradient Yamabe solitons

Huai-Dong Cao Department of Mathematics, Lehigh University, Bethlehem, Penn., U.S.A. Xiaofeng Sun Department of Mathematics, Lehigh University, Bethlehem, Penn., U.S.A. Yingying Zhang Department of Mathematics, Lehigh University, Bethlehem, Penn., U.S.A.

Differential Geometry mathscidoc:2204.10008

Mathematical Research Letters, 19, 2012.12
We show that every complete nontrivial gradient Yamabe soliton admits a special global warped product structure with a one-dimensional base. Based on this, we obtain a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.
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@inproceedings{huai-dong2012on,
  title={On the structure of gradient Yamabe solitons},
  author={Huai-Dong Cao, Xiaofeng Sun, and Yingying Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220428140323353658144},
  booktitle={Mathematical Research Letters},
  volume={19},
  year={2012},
}
Huai-Dong Cao, Xiaofeng Sun, and Yingying Zhang. On the structure of gradient Yamabe solitons. 2012. Vol. 19. In Mathematical Research Letters. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220428140323353658144.
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