Some Relations Between Curvature Tensors of a Riemannian Manifold.
| dc.contributor.author | Ayar, Gülhan | |
| dc.contributor.author | Tekin, P. | |
| dc.contributor.author | Aktan, N. | |
| dc.date.accessioned | 2026-01-10T13:00:40Z | |
| dc.date.available | 2026-01-10T13:00:40Z | |
| dc.date.issued | 2017 | |
| dc.department | DÜ, Fen-Edebiyat Fakültesi, Matematik Bölümü | |
| dc.description.abstract | In this paper, properties alpha-cosymplectic manifolds equipped with M-procetive curvature tensor are studied. First, we gave the basic definitions and curvature properties of alpha-cosymplectic manifolds, then, we gave the definitions of Weyl projective curvature tensor , con-circular curvature tensor C and conformal curvature tensor V and we obtain some relations between these curvature tensors of a Riemannian manifold. Also we proved that an 2n+1-dimensional alpha-cosymplectic manifold is projectively flat if and only if it is either locally isometric to the hyperbolic space Hn(-1) . And finally, we proved that the M-projective curvature tensor in an alpha-cosymplectic manifold M is irrotational if and only if it is locally isometric to the hyperbolic space Hn(-a^2) . | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12684/22209 | |
| dc.language.iso | en | |
| dc.relation.ispartof | 10th International Statistics Congress(ISC2017) | |
| dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | |
| dc.rights | info:eu-repo/semantics/closedAccess | |
| dc.snmz | KA_20260110 | |
| dc.subject | curvature tensor | |
| dc.subject | manifold | |
| dc.subject | cosymplectic manifold | |
| dc.subject | Riemannian manifold | |
| dc.title | Some Relations Between Curvature Tensors of a Riemannian Manifold. | |
| dc.type | Conference Object |
