f(a,b) (3,2,1)-structures on manifolds
| dc.authorid | KILIC, Erol/0000-0001-7536-0404 | |
| dc.authorid | Gok, Mustafa/0000-0001-6346-0758 | |
| dc.authorid | Ozgur, Cihan/0000-0002-4579-7151 | |
| dc.authorwosid | Ozgur, Cihan/E-9138-2019 | |
| dc.contributor.author | Gok, Mustafa | |
| dc.contributor.author | Kilic, Erol | |
| dc.contributor.author | Ozgur, Cihan | |
| dc.date.accessioned | 2024-08-04T20:50:33Z | |
| dc.date.available | 2024-08-04T20:50:33Z | |
| dc.date.issued | 2021 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | In this paper, we define and study two new structures on a differentiable manifold called by us an f((a,b)) (3, 2, 1)-structure and a framed f((a,b)) (3, 2, 1)-structure as a generalization of some geometric structures determined by polynomial structures, where a, b is an element of R and b not equal 0. At beginning, we present some examples regarding f((a,b)) (3, 2,1)-structures and establish their some fundamental properties. We also give a necessary condition for an f((a,b)) (3, 2,1)-structure to be an almost quadratic phi-structure. Later, it is shown that the existence of two semi-Riemannian metrics on differentiable manifolds admitting a framed f((a,b)) (3, 2, 1)-structure, i.e., framed f((a,b)) (3, 2, 1)-manifolds. In particular, a framed f((a,b)) ( 3, 2,1)-manifold endowed with the first semi-Riemannian metric mentioned above is called a framed metric f((a,b)) (3, 2, 1)-manifold. Finally, we construct some examples to illustrate the existence of framed metric f((a,b)) (3, 2, 1)-manifolds. (C) 2021 Elsevier B.V. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.geomphys.2021.104346 | |
| dc.identifier.issn | 0393-0440 | |
| dc.identifier.issn | 1879-1662 | |
| dc.identifier.scopus | 2-s2.0-85112822019 | en_US |
| dc.identifier.scopusquality | Q2 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.geomphys.2021.104346 | |
| dc.identifier.uri | https://hdl.handle.net/11616/100141 | |
| dc.identifier.volume | 169 | en_US |
| dc.identifier.wos | WOS:000697339000010 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Journal of Geometry and Physics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Polynomial structure | en_US |
| dc.subject | Metallic pseudo-Riemannian structure | en_US |
| dc.subject | Almost quadratic phi-structure | en_US |
| dc.subject | epsilon-framed metric structure | en_US |
| dc.title | f(a,b) (3,2,1)-structures on manifolds | en_US |
| dc.type | Article | en_US |
