Advanced Search
Cancel
Found: 3 Piece 0.000 sn
- You can use the 'AND' / 'OR' / 'NOT' option for the things you want to add or remove.
- You can return to normal search by pressing the Cancel button.
Filters
Filters
Found: 3 Piece 0.000 sn
Department : Matematik Bölümü ✕Researcher : Olgun DURMAZ ✕
Collection [1]
Researcher [1]
UN Sustainable Development [2]
Faculty / Institute [1]
Publication type [1]
Publication year [2]
Language [1]
Source [3]
Databases [4]
Index Type [2]
Publisher [2]
Department [1]
National/International [1]
Subject Headings [18]
Araştırma Görevlisi Olgun DURMAZFen Fakültesi
Access to Files

Conjugate connections and their applications on pure metallic metric geometries

Olgun DURMAZ

Let (M, J, g) be a metallic pseudo-Riemannian manifold equipped with a metallic structure J and a pseudo-Riemannian metric g. The paper deals with interactions of Codazzi couplings formed by conjugate connections and tensor structures. The presence of Tachibana operator and Codazzi couplings presents a new characterization for locally metallic pseudo-Riemannian manifold. Also, a necessary and sufficient condition under which a non-integrable metallic pseudo-Riemannian manifold is a quasi metallic pseudo-Riemannian manifold is derived. Finally, it is introduced metallic-like pseudo-Riemannian m ...More

Article 2023 Fen Fakültesi Ricerche di Matematica ( Published online: 29 June 2023 ) 31 Views
Access to Files

The inequalities on dual numbers and their topological structures

Olgun DURMAZ

Inequalities are frequently used in various fields of mathematics to prove theorems. The existence of inequalities contributes significantly to the foundations of such branches. In this paper, we study the properties of order relations in the system of dual numbers, which is inspired by order relations defined on real numbers. Besides, some special inequalities that are used in various fields of mathematics, such as Cauchy-Schwarz, Minkowski, and Chebyshev are studied in this framework. An example is also provided to validate our research findings. Keywords: dual numbers; dual absolute value; ...More

Article 2023 Fen Fakültesi Turkish Journal of Mathematics47 ( 5 ) 28 Views
Access to Files

On Spatial Mechanisms in Lorentzian 3-Space

Olgun DURMAZ

Let L4 be a 4-dimensional Lorentzian space with the sign (−,,,). The aim of this study is to investigate the other missing algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in L4. For this purpose, firstly, we obtain the structure equations of a spatial open chain using the equations of open chains of the Lorentz plane and Lorentz sphere. After then, using these structure equations, we search the algebraic forms of the constraint manifolds of 2C and 3C spatial open chains in Lorentzian 3-space with respect to the causal characters of the first link and the axis of ro ...More

Article 2024 Fen Fakültesi Mediterranean Journal of Mathematics21 ( 2 ) 2 Views
Our obligations and policy regarding cookies are subject to the TR Law on the Protection of Personal Data No. 6698.
OK
creativecommons
Bu site altında yer alan tüm kaynaklar Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.
Platforms