Complete quasi-Yamabe gradient solitons with bounded scalar curvature

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.

Publication Details

Journal
ArXiv.org
Published
2025-05-01
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00

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article

Complete quasi-Yamabe gradient solitons with bounded scalar curvature

ArXiv.org
Geometric Analysis and Curvature Flows
article

Complete quasi-Yamabe gradient solitons with bounded scalar curvature

article en

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.

ArXiv.org
Japan Society for the Promotion of Science
Openalex Percentile: Top 40%
Geometric Analysis and Curvature Flows
Open Access PDFOpenAlex
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Complete quasi-Yamabe gradient solitons with bounded scalar curvature · ArXiv.org (2025) | TGRS Research Map | TGRS