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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Research Article

Osculating-type curves with Myller configuration in Euclidean 4-space 

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pp. 1–14Vol. 24Issue 1May 2026DOI: 10.47974/JDSGT-2024-008XML
Received:
01 May 2024
Published Online:
07 Jul 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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