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Framed general helix and framed ζ3-slant helix in R4.
- Source :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica; 2023, Vol. 31 Issue 3, p15-26, 12p
- Publication Year :
- 2023
-
Abstract
- In this paper, we focus on general and ζ<subscript>3</subscript>-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and ζ<subscript>3</subscript>-slant helices, respectively. Then, we state and prove the conditions of necessity and sufficiency for any framed curves to be general helices or ζ<subscript>3</subscript>-slant helices in R<superscript>4</superscript>. Also, we give some characterizations for framed helices. [ABSTRACT FROM AUTHOR]
- Subjects :
- HELICES (Algebraic topology)
Subjects
Details
- Language :
- English
- ISSN :
- 12241784
- Volume :
- 31
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
- Publication Type :
- Academic Journal
- Accession number :
- 172795102
- Full Text :
- https://doi.org/10.2478/auom-2023-0029