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Matematicheskie Zametki, 2024, Volume 115, Issue 2, paper published in the English version journal (Mi mzm13989)  

Papers published in the English version of the journal

Ricci Solitons on Generalized Sasakian Space Forms with Kenmotsu Metric

S. Rani, R. Gupta

Guru Gobind Singh Indraprastha University, University School of Basic and Applied Sciences, New Delhi
Abstract: We study Ricci solitons and $*$-Ricci solitons on generalized Sasakian space forms (GSSF) $M^{2 n+1}(f_1, f_2, f_3)$ with parallel $*$-Ricci tensor. We prove that if a GSSF $M^{2 n+1}(f_1, f_2, f_3)$ with the Kenmotsu metric admits a Ricci soliton or a $*$-Ricci soliton, then $f_1=-1$ and $f_2=f_3=0$. Moreover, the Ricci soliton is expanding, and the $*$-Ricci soliton is steady. Further, we provide some examples.
Keywords: generalized Sasakian space form, Ricci soliton, $*$-Ricci soliton, Kenmotsu manifold, conformal Killing vector field.
Funding agency Grant number
Guru Gobind Singh Indraprastha University GGSIPU/ DRC/Ph.D./2018/1290
The first author is thankful to GGS Indraprastha University to provide financial support for Ph.D. research work (L. No. GGSIPU/ DRC/Ph.D./2018/1290).
Received: 15.04.2023
English version:
Mathematical Notes, 2024, Volume 115, Issue 2, Pages 240–257
DOI: https://doi.org/10.1134/S0001434624010231
Bibliographic databases:
Document Type: Article
Language: English
Citation: S. Rani, R. Gupta, “Ricci Solitons on Generalized Sasakian Space Forms with Kenmotsu Metric”, Math. Notes, 115:2 (2024), 240–257
Citation in format AMSBIB
\Bibitem{SagGup24}
\by S.~Rani, R.~Gupta
\paper Ricci Solitons on Generalized Sasakian Space Forms with Kenmotsu Metric
\jour Math. Notes
\yr 2024
\vol 115
\issue 2
\pages 240--257
\mathnet{http://mi.mathnet.ru/mzm13989}
\crossref{https://doi.org/10.1134/S0001434624010231}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4744391}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85190885374}
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