English

Classification of three dimensional complete gradient Yamabe solitons

Differential Geometry 2023-09-19 v3

Abstract

In this paper, we classify nontrivial 3-dimensional complete gradient Yamabe solitons. In particular, we show that any nontrivial non-flat 3-dimensional complete steady gradient Yamabe soliton is rotationally symmetric.

Keywords

Cite

@article{arxiv.2104.12391,
  title  = {Classification of three dimensional complete gradient Yamabe solitons},
  author = {Shun Maeta},
  journal= {arXiv preprint arXiv:2104.12391},
  year   = {2023}
}

Comments

The author found a mistake

R2 v1 2026-06-24T01:30:42.344Z