English

Complete quasi-Yamabe gradient solitons with bounded scalar curvature

Differential Geometry 2025-05-14 v2

Abstract

In this paper, we classify complete, nontrivial shrinking and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded below by the soliton constant. We also classify complete, nontrivial expanding and steady quasi-Yamabe gradient solitons whose scalar curvature is bounded above by the soliton constant.

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Cite

@article{arxiv.2505.00463,
  title  = {Complete quasi-Yamabe gradient solitons with bounded scalar curvature},
  author = {Shun Maeta},
  journal= {arXiv preprint arXiv:2505.00463},
  year   = {2025}
}

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7 pages