Some results on paracontact metric (k, ?)-manifolds with respect to the Schouten-van Kampen connection

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dc.authoridMofarreh, Fatemah/0000-0002-2116-7382
dc.authoridYıldız, Ahmet/0000-0002-9799-1781
dc.authorwosidMofarreh, Fatemah/CAH-7473-2022
dc.authorwosidyıldız, ahmet/HSF-3939-2023
dc.authorwosidYıldız, Ahmet/ABG-9622-2020
dc.contributor.authorPerktas, Selcen Yuksel
dc.contributor.authorDe, Uday Chand
dc.contributor.authorYildiz, Ahmet
dc.date.accessioned2024-08-04T20:10:11Z
dc.date.available2024-08-04T20:10:11Z
dc.date.issued2022
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn 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.en_US
dc.identifier.doi10.15672/hujms.941744
dc.identifier.endpage482en_US
dc.identifier.issn2651-477X
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-85128787254en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage466en_US
dc.identifier.trdizinid1161705en_US
dc.identifier.urihttps://doi.org/10.15672/hujms.941744
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1161705
dc.identifier.urihttps://hdl.handle.net/11616/92646
dc.identifier.volume51en_US
dc.identifier.wosWOS:000779326300011en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal of Mathematics and Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSchouten-van Kampen connectionen_US
dc.subjectparacontact metric (k, mu)-manifoldsen_US
dc.subjectRicci semisymmetricen_US
dc.subjectEinstein manifolden_US
dc.subjecteta-Einstein manifolden_US
dc.subjectsolitonsen_US
dc.titleSome results on paracontact metric (k, ?)-manifolds with respect to the Schouten-van Kampen connectionen_US
dc.typeArticleen_US

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