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arXiv · 1108.6316

On the structure of gradient Yamabe solitons

Huai-Dong Cao·Xiaofeng Sun·Yingying Zhang
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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 prove a general classification theorem for complete nontrivial locally conformally flat gradient Yamabe solitons.

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Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang. 2011-08-31. On the structure of gradient Yamabe solitons. https://arxiv.org/abs/1108.6316

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