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Framed general helix and framed ζ3-slant helix in ℝ4

Mine Ateş

Mine Ateş

Mine ATEŞ,Department of Mathematics, Sakarya UniversitySakarya, Turkey
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Ateş, Mine
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Mahmut Akyiğit

Mahmut Akyiğit

Department of Mathematics, Sakarya University, and Sakarya University Technology Developing Zones Manager COSakarya, Turkey
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Akyiğit, Mahmut
  
Oct 21, 2023
Framed general helix and framed ζ3-slant helix in ℝ4's Cover Image
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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
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© 2023 Mine Ateş et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
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