Ricci soliton on $(\kappa, \mu)$-almost cosymplectic manifold

november 2023 Ricci soliton on $(\kappa, \mu)$-almost cosymplectic manifold

Savita Rani, Ram Shankar Gupta

Bull. Belg. Math. Soc. Simon Stevin 30(3): 354-368 (november 2023). DOI: 10.36045/j.bbms.230420

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 $\xi$.

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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