Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds
| dc.contributor.author | Özkan, Mustafa | |
| dc.contributor.author | Erken, Irem Küpelı | |
| dc.date.accessioned | 2026-02-08T15:08:22Z | |
| dc.date.available | 2026-02-08T15:08:22Z | |
| dc.date.issued | 2025 | |
| dc.department | Bursa Teknik Üniversitesi | |
| dc.description.abstract | The 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 $M^3$ is Einstein. The second one is the manifold is paracosymplectic manifold and ?-Einstein. | |
| dc.identifier.doi | 10.31801/cfsuasmas.1485231 | |
| dc.identifier.endpage | 78 | |
| dc.identifier.issn | 1303-5991 | |
| dc.identifier.issn | 2618-6470 | |
| dc.identifier.issue | 1 | |
| dc.identifier.startpage | 68 | |
| dc.identifier.trdizinid | 1303411 | |
| dc.identifier.uri | https://doi.org/10.31801/cfsuasmas.1485231 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12885/4961 | |
| dc.identifier.volume | 74 | |
| dc.indekslendigikaynak | TR-Dizin | |
| dc.language.iso | en | |
| dc.relation.ispartof | Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics | |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.snmz | KA_TR-Dizin_20260207 | |
| dc.subject | Gradient Ricci soliton | |
| dc.subject | quasi-para-Sasakian manifold | |
| dc.subject | Fischer-Marsden equation | |
| dc.subject | K-paracontact manifold | |
| dc.title | Fischer-Marsden conjecture on K-paracontact manifolds and quasi-para-Sasakian manifolds | |
| dc.type | Article |
