On the structure of gradient Yamabe solitons

Details On the structure of gradient Yamabe solitons On the structure of gradient Yamabe solitons

2011-08-31

arxiv.org/abs/1108.6316v2

Mathematics

Differential Geometry

8 pages; added Remark 2.2 and updated references

Scientific paper

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 prove a general classification theorem for complete nontrivial locally
conformally flat gradient Yamabe solitons.

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