<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In this study, we examine osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 3-space <italic>E</italic><sub>3</sub>. We present the necessary characterizations for a curve to be an osculating-type curve. Characterizations originating from the natural structure of Myller configuration are a generalization of osculating curves according to the Frenet frame. Also, we introduce some new results that are not valid for osculating curves. Then, we give an illustrative numerical example supported by a figure.</p>
</abstract>

In this study, we examine osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 3-space E3. We present the necessary characterizations for a curve to be an osculating-type curve. Characterizations originating from the natural structure of Myller configuration are a generalization of osculating curves according to the Frenet frame. Also, we introduce some new results that are not valid for osculating curves. Then, we give an illustrative numerical example supported by a figure.

On generalized osculating-type curves in Myller configuration

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"On generalized osculating-type curves in Myller configuration"}

In this study, we examine osculating-type curves with Frenet-type frame in Myller configuration for Euclidean 3-space E3. We present the necessary...

On generalized osculating-type curves in Myller configuration

Published Online: Jul 10, 2024

Page range: 85 - 98

Received: Jul 29, 2023

DOI: https://doi.org/10.2478/auom-2024-0020

Keywords
Myller configuration, osculating-type curve, versor field

© 2024 Zehra İşbilir et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On generalized osculating-type curves in Myller configuration

Published Online: Jul 10, 2024

Page range: 85 - 98

Received: Jul 29, 2023

DOI: https://doi.org/10.2478/auom-2024-0020

KeywordsMyller configuration, osculating-type curve, versor field

© 2024 Zehra İşbilir et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Myller configuration, osculating-type curve, versor field