English

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

Differential Geometry 2019-08-27 v5

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.

Cite

@article{arxiv.1806.00795,
  title  = {3-dimensional complete gradient Yamabe solitons with divergence-free Cotton tensor},
  author = {Shun Maeta},
  journal= {arXiv preprint arXiv:1806.00795},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T02:17:20.939Z