Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds

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dc.authorid0000-0002-4483-2912
dc.contributor.authorOzkan, Mustafa
dc.contributor.authorErken, Irem K. U. P. E. L. I.
dc.date.accessioned2026-02-08T15:14:44Z
dc.date.available2026-02-08T15:14:44Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractThe aim of this paper is to study of the non-trivial solutions of Fischer-Marsden conjecture on K-paracontact manifolds and 3-dimensional quasi-para-Sasakian manifolds. We prove that if a semi- Riemannian manifold of dimension 2n + 1 admits a non-trivial solution of Fischer-Marsden equation, then it has constant scalar curvature. We give a comprehensive classification for a (2n + 1)-dimensional K-paracontact manifold which admits a non-trivial solution of Fischer-Marsden equation. We consider 3-dimensional quasi-para-Sasakian manifolds with beta constant which admits Fischer-Marsden equation and prove that there are two possibilities. The first one is the scalar curvature r = -6 beta 2 and M3 is Einstein. The second one is the manifold is paracosymplectic manifold and eta-Einstein.
dc.identifier.doi10.31801/cfsuasmas.1485231
dc.identifier.endpage78
dc.identifier.issn1303-5991
dc.identifier.issue1
dc.identifier.startpage68
dc.identifier.trdizinid1303411
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1485231
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1303411
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5388
dc.identifier.volume74
dc.identifier.wosWOS:001441148900005
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherAnkara Univ, Fac Sci
dc.relation.ispartofCommunications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWOS_KA_20260207
dc.subjectFischer-Marsden equation
dc.subjectK-paracontact manifold
dc.subjectquasi-para-Sasakian manifold
dc.subjectgradient
dc.subjectRicci soliton.
dc.titleFischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds
dc.typeArticle

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