<abstract xmlns="http://www.w3.org/1999/xhtml">
In this paper, we focus on general and <italic>ζ</italic>3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and <italic>ζ</italic>3-slant helices, respectively. Then, we state and prove the conditions of necessity and su ciency for any framed curves to be general helices or <italic>ζ</italic>3-slant helices in ℝ4. Also, we give some characterizations for framed helices.
</abstract>

In this paper, we focus on general and ζ3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and ζ3-slant helices, respectively. Then, we state and prove the conditions of necessity and su ciency for any framed curves to be general helices or ζ3-slant helices in ℝ4. Also, we give some characterizations for framed helices.

Framed general helix and framed <italic>ζ</italic>3-slant helix in ℝ4

Sakarya University, and Sakarya University Technology Developing Zones Manager CO

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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

Framed general helix and framed -slant helix in ℝ

In this paper, we focus on general and ζ3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and...

Framed general helix and framed ζ₃-slant helix in ℝ⁴

Published Online: Oct 21, 2023

Page range: 15 - 26

Received: Sep 25, 2022

Accepted: Dec 22, 2022

DOI: https://doi.org/10.2478/auom-2023-0029

Keywords
Framed curve, General helix, Slant helix

© 2023 Mine Ateş et al., published by Sciendo

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

Framed general helix and framed ζ3-slant helix in ℝ4

Published Online: Oct 21, 2023

Page range: 15 - 26

Received: Sep 25, 2022

Accepted: Dec 22, 2022

DOI: https://doi.org/10.2478/auom-2023-0029

KeywordsFramed curve, General helix, Slant helix

© 2023 Mine Ateş et al., published by Sciendo

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

Framed general helix and framed ζ₃-slant helix in ℝ⁴

Keywords
Framed curve, General helix, Slant helix