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arXiv · 1806.00795

3-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor

Shun Maeta
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Abstract

In this paper, we classify 3-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor. We also give some classifications of complete gradient Yamabe solitons with nonpositively curved Ricci curvature in the direction of the gradient of the potential function.

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Shun Maeta. 2018-06-03. 3-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor. https://arxiv.org/abs/1806.00795

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