Perktas, Selcen YukselDe, Uday ChandYildiz, Ahmet2024-08-042024-08-0420222651-477Xhttps://doi.org/10.15672/hujms.941744https://search.trdizin.gov.tr/yayin/detay/1161705https://hdl.handle.net/11616/92646In the present paper we study certain symmetry conditions and some types of solitons on paracontact metric (k, mu)-manifolds with respect to the Schouten-van Kampen connection. We prove that a Ricci semisymmetric paracontact metric (k, mu)-manifold with respect to the Schouten-van Kampen connection is an g-Einstein manifold. We investigate paracontact metric (k, mu)-manifolds satisfying (sic) . (sic)(cur) = 0 with respect to the Schouten-van Kampen connection. Also, we show that there does not exist an almost Ricci soliton in a (2n + 1)-dimensional paracontact metric (k, mu)-manifold with respect to the Schouten-van Kampen connection such that k > -1 or k < -1. In case of the metric is being an almost gradient Ricci soliton with respect to the Schouten-van Kampen connection, then we state that the manifold is either N(k)-paracontact metric manifold or an Einstein manifold. Finally, we present some results related to almost Yamabe solitons in a paracontact metric (k, mu)-manifold equipped with the Schouten-van Kampen connection and construct an example which verifies some of our results.eninfo:eu-repo/semantics/openAccessSchouten-van Kampen connectionparacontact metric (k, mu)-manifoldsRicci semisymmetricEinstein manifoldeta-Einstein manifoldsolitonsArticle51246648210.15672/hujms.9417442-s2.0-85128787254Q31161705WOS:000779326300011Q3