Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Abdussamet Çalişkan"'
Autor:
Abdussamet Çalışkan
Publikováno v:
Surveys in Mathematics and its Applications, Vol 19 (2024), Pp 127-142 (2024)
The purpose of this paper is to show that canal and tubular surfaces can be obtained by special curves. Also, we reckon the equations of these surfaces with Bishop frame and acquire some corollaries for special curves. Besides, these surfaces are acq
Externí odkaz:
https://doaj.org/article/ae901b4e2f75421fb02fcc455ebe53d7
Autor:
Süleyman Şenyurt, Abdussamet Çalişkan
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 34, Iss 2, Pp 53-62 (2016)
In this paper, we study the special Smarandache curve interms of Sabban frame of Fixed Pole curve and we give some characterization of Smarandache curves. Besides, we illustrate examples of our results.
Externí odkaz:
https://doaj.org/article/047b4b7a89354059b3ac8dcffbd64ed6
Autor:
Abdussamet ÇALIŞKAN
Publikováno v:
Journal of New Theory. :43-54
This paper presents a quaternionic approach to generating and characterizing the ruled surface drawn by the unit Darboux vector. The study derives the Darboux frame of the surface and relates it to the Frenet frame of the base curve. Moreover, it obt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c69c4bd7e6c91e71c17e6b0ad007b531
https://doi.org/10.53570/jnt.1194990
https://doi.org/10.53570/jnt.1194990
Publikováno v:
Volume: 4, Issue: 1 31-45
Fundamentals of Contemporary Mathematical Sciences
Fundamentals of Contemporary Mathematical Sciences
In this paper, the invariants of the Smarandache curves, which consist of Frenet vectors of the involute curve, are calculated in terms of the evolute curve.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc490bdee3ce4645588a36660b629479
https://doi.org/10.54974/fcmathsci.1152564
https://doi.org/10.54974/fcmathsci.1152564
Autor:
Abdussamet Çalişkan
Publikováno v:
Volume: 13, Issue: 1 106-114
Turkish Journal of Mathematics and Computer Science
Turkish Journal of Mathematics and Computer Science
In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fa89c1f2c5e45b2c72e80204e70d0d8
https://doi.org/10.47000/tjmcs.858793
https://doi.org/10.47000/tjmcs.858793
Publikováno v:
Axioms, Vol 13, Iss 9, p 612 (2024)
In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these surfaces by use of the quaternionic product. Furthermore, the pitches and angles of pitches
Externí odkaz:
https://doaj.org/article/a783ea08426a426fbe87b5e56e4b6a56
Autor:
Yanlin Li, Abdussamet Çalışkan
Publikováno v:
Axioms, Vol 12, Iss 5, p 486 (2023)
In this article, we examine the relationship between Darboux frames along parameter curves and the Darboux frame of the base curve of the ruled surface. We derive the equations of the quaternionic shape operators, which can rotate tangent vectors aro
Externí odkaz:
https://doaj.org/article/e1c1aa919a504e828d29defdb52e1ef3
Publikováno v:
Boletim da Sociedade Paranaense de Matemática, Vol 39, Iss 5 (2020)
In this paper, the curvature and the torsion of Smarandache curves obtained by the vectors of the Bertrand partner curve are calculated. These values are expressed depending upon the curve. Besides, we illustrate example with our main results.
Externí odkaz:
https://doaj.org/article/a374b853f30e4e8fa50712405cf8d9c0