Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Some Triviality Characterizations on Gradient Almost Yamabe Solitons

  • Uday Chand De (Department of Pure Mathematics, University of Calcutta) ;
  • Puja Sarkar (Department of Education, The University of Burdwan) ;
  • Mampi Howlader (Department of Education, The University of Burdwan)
  • Received : 2023.05.18
  • Accepted : 2023.07.24
  • Published : 2023.12.31
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Abstract

An almost Yamabe soliton is a generalization of the Yamabe soliton. In this article, we deduce some results regarding almost gradient Yamabe solitons. More specifically, we show that a compact almost gradient Yamabe soliton having non-negative Ricci curvature is trivial. Again, we prove that an almost gradient Yamabe soliton with a non-negative potential function and scalar curvature bound admitting an integral condition is trivial. Moreover, we give a characterization of a compact almost gradient Yamabe solitons.

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Acknowledgement

We would like to thank the referees and the editor for reviewing the paper carefully and for their valuable comments to improve the quality of the paper.

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