Complete quasi-Yamabe gradient solitons with bounded scalar curvature

Shun Maeta

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arXiv · 2505.00463

Complete quasi-Yamabe gradient solitons with bounded scalar curvature

Shun Maeta

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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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Shun Maeta. 2025-05-13. Complete quasi-Yamabe gradient solitons with bounded scalar curvature. https://arxiv.org/abs/2505.00463

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