Suppose (M4, g, f) is a complete shrinking gradient Ricci soliton. We give a sufficient condition for a soliton to be compact, generalizing previous result of Munteanu-Wang [17]. As an application, we give a classification of (M4, g, f) under some natural conditions. (c) 2023 Elsevier B.V. All rights reserved.
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Fuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R China
Fuyang Normal Univ, Coll Informat Engn, Fuyang 236041, Peoples R ChinaFuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R China
Chu, Yawei
Zhou, Jundong
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Fuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R ChinaFuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R China
Zhou, Jundong
Wang, Xue
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Fuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R ChinaFuyang Normal Univ, Sch Math & Stat, Fuyang 236037, Anhui, Peoples R China