Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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*-Ricci Soliton on (κ < 0, µ)-almost Cosymplectic Manifolds

  • Rani, Savita (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University) ;
  • Gupta, Ram Shankar (University School of Basic and Applied Sciences, Guru Gobind Singh Indraprastha University)
  • Received : 2021.06.22
  • Accepted : 2021.11.15
  • Published : 2022.06.30
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Abstract

We study *-Ricci solitons on non-cosymplectic (κ, µ)-acs (almost cosymplectic) manifolds M. We find *-solitons that are steady, and such that both the scalar curvature and the divergence of the potential field is negative. Further, we study concurrent, concircular, torse forming and torqued vector fields on M admitting Ricci and *-Ricci solitons. Also, we provide some examples.

Keywords

Acknowledgement

The authors are thankful to the referees for their valuable suggestions for improvement of the article. The first author is thankful to GGSIP University for research fellowship F.No. GGSIPU/DRC/2021/685.

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