Framed general helix and framed ζ3-slant helix in ℝ4
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Sciendo
2023-09-01
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| Series: | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/auom-2023-0029 |
| _version_ | 1797653320882454528 |
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| author | Ateş Mine Akyiğit Mahmut |
| author_facet | Ateş Mine Akyiğit Mahmut |
| author_sort | Ateş Mine |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:42:58Z |
| format | Article |
| id | doaj.art-0a59f8ef6319432b8f93a9a2f1abb113 |
| institution | Directory Open Access Journal |
| issn | 1844-0835 |
| language | English |
| last_indexed | 2024-03-11T16:42:58Z |
| publishDate | 2023-09-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica |
| spelling | doaj.art-0a59f8ef6319432b8f93a9a2f1abb1132023-10-23T07:51:32ZengSciendoAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica1844-08352023-09-01313152610.2478/auom-2023-0029Framed general helix and framed ζ3-slant helix in ℝ4Ateş Mine0Akyiğit Mahmut1Mine ATEŞ,Department of Mathematics, Sakarya University, Sakarya, TurkeyDepartment of Mathematics, Sakarya University, and Sakarya University Technology Developing Zones Manager CO., Sakarya, TurkeyIn 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.https://doi.org/10.2478/auom-2023-0029framed curvegeneral helixslant helix53a0457r4558k05 |
| spellingShingle | Ateş Mine Akyiğit Mahmut Framed general helix and framed ζ3-slant helix in ℝ4 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica framed curve general helix slant helix 53a04 57r45 58k05 |
| title | Framed general helix and framed ζ3-slant helix in ℝ4 |
| title_full | Framed general helix and framed ζ3-slant helix in ℝ4 |
| title_fullStr | Framed general helix and framed ζ3-slant helix in ℝ4 |
| title_full_unstemmed | Framed general helix and framed ζ3-slant helix in ℝ4 |
| title_short | Framed general helix and framed ζ3-slant helix in ℝ4 |
| title_sort | framed general helix and framed ζ3 slant helix in r4 |
| topic | framed curve general helix slant helix 53a04 57r45 58k05 |
| url | https://doi.org/10.2478/auom-2023-0029 |
| work_keys_str_mv | AT atesmine framedgeneralhelixandframedz3slanthelixinr4 AT akyigitmahmut framedgeneralhelixandframedz3slanthelixinr4 |