|
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.
Received: 15.04.2023
Citation:
S. Rani, R. Gupta, “Ricci Solitons on Generalized Sasakian Space Forms with Kenmotsu Metric”, Math. Notes, 115:2 (2024), 240–257
Linking options:
https://www.mathnet.ru/eng/mzm13989
|
|