Ozkan, MustafaErken, Irem K. U. P. E. L. I.2026-02-082026-02-0820251303-5991https://doi.org/10.31801/cfsuasmas.1485231https://search.trdizin.gov.tr/tr/yayin/detay/1303411https://hdl.handle.net/20.500.12885/5388The 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.eninfo:eu-repo/semantics/openAccessFischer-Marsden equationK-paracontact manifoldquasi-para-Sasakian manifoldgradientRicci soliton.Article10.31801/cfsuasmas.14852317416878WOS:001441148900005Q31303411