Open Access
Research Article
Osculating-type curves with Myller configuration in Euclidean 4-space
*Zehra IşbilirCorresponding authorzehraisbilir@duzce.edu.trDepartment of Mathematics Faculty of Arts and Sciences Düzce UniversityDepartment of Mathematics Faculty of Arts and Sciences Düzce University 81620 Düzce TurkeyDüzce, 81620, TürkiyeView full profile → , Murat Tosuntosun@sakarya.edu.trDepartment of Mathematics Faculty of Science Sakarya UniversitySakarya, 54187, TürkiyeView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 May 2024
- Published Online:
- 01 May 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDSGT-2024-008
- Pages:
- 1–14
Abstract
In this study, we introduce generalized osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 4-space E4. This study especially improves the theory of curves with respect to the osculating-type curves and gives the relationships between the special cases and general form related to the osculating-type curves. We examine some characterizations of the first kind and second kind osculating-type curves. Then, we obtain some correlations between curvatures and invariants of the generalized osculating-type curves, as well. The osculating curves with Frenet frame in E4 are one of the natural special cases for the generalized osculating-type curves with Myller configuration in E4 since the geometry of versor fields along a curve with Myller configuration in E4 is a generalization of the usual theory of curves in E4. Also, we give some new theorems that are not valid for osculating curves with Frenet frame in E4. Then, we give a numerical example with respect to the studied concept.
Keywords
Subject Classifications
53A04
References
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