Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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RICCI-BOURGUIGNON SOLITONS AND FISCHER-MARSDEN CONJECTURE ON GENERALIZED SASAKIAN-SPACE-FORMS WITH 𝛽-KENMOTSU STRUCTURE

  • Sudhakar Kumar Chaubey (Section of Mathematics IT Department University of Technology and Applied Sciences-Shinas) ;
  • Young Jin Suh (Department of Mathematics and RIRCM Kyungpook National University)
  • Received : 2022.02.03
  • Accepted : 2022.06.28
  • Published : 2023.03.01
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Abstract

Our aim is to study the properties of Fischer-Marsden conjecture and Ricci-Bourguignon solitons within the framework of generalized Sasakian-space-forms with 𝛽-Kenmotsu structure. It is proven that a (2n + 1)-dimensional generalized Sasakian-space-form with 𝛽-Kenmotsu structure satisfying the Fischer-Marsden equation is a conformal gradient soliton. Also, it is shown that a generalized Sasakian-space-form with 𝛽-Kenmotsu structure admitting a gradient Ricci-Bourguignon soliton is either ψ∖Tk × M2n+1-k or gradient 𝜂-Yamabe soliton.

Keywords

Acknowledgement

The presented authors would like to express their sincere gratitude to the reviewer for his/her carefully reading and valuable comments to improve our paper. By virtue of his/her unmatched efforts, we could make our paper better than the first one. Moreover, we want to give our gratitude to the Editor for providing his/her valuable suggestions.

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