Abstract
We examine the existence of Ricci solitons on $(\kappa, \mu)$-almost cosymplectic (acs) manifolds. Our study shows that on $(\kappa \prec 0, \mu)$-acs manifolds, Ricci solitons are actually expanding, and $(\kappa = 0, \mu)$-acs manifolds admit arbitrary Ricci solitons. Additionally, we analyze the behavior of Ricci solitons on $(\kappa, \mu)$-acs manifolds with the Jacobi-type potential vector field and with the potential vector field $V$ aligned with the structure vector field $\xi$.
Citation
Savita Rani. Ram Shankar Gupta. "Ricci soliton on $(\kappa, \mu)$-almost cosymplectic manifold." Bull. Belg. Math. Soc. Simon Stevin 30 (3) 354 - 368, november 2023. https://doi.org/10.36045/j.bbms.230420
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