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On the structure of gradient yamabe solitons

Mathematical Research Letters (2012) 19(4) 767-774
DOI: 10.4310/MRL.2012.v19.n4.a3
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Abstract

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. © 2012 International Press.

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Cao, H. D., Sun, X., & Zhang, Y. (2012). On the structure of gradient yamabe solitons. Mathematical Research Letters, 19(4), 767–774. https://doi.org/10.4310/MRL.2012.v19.n4.a3

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