Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Zuhal Kucukarslan-Yuzbasi"'
Autor:
Zuhal KUCUKARSLAN YUZBASİ, Sevinç TAZE
Publikováno v:
Journal of the Institute of Science and Technology. :1230-1236
In this study, an isoparametric curve and its Frenet frame are linearly combined to form a surface in 3-dimensional Lie group. When the surface has a constant mean curvature along the given curve, sufficient conditions have been satisfied. In conclus
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5eaea50c68c3e0acda65028f2ce205a8
https://doi.org/10.21597/jist.1203363
https://doi.org/10.21597/jist.1203363
Publikováno v:
International Journal of Innovative Engineering Applications.
In this study, sufficient conditions are derived and examples are created to derive surfaces with constant Gauss curvature along a given curve in terms of the linear combination of its Frenet frame in the 3-dimensional Lie group.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6978642b503dc002786a60574480b719
https://doi.org/10.46460/ijiea.1135754
https://doi.org/10.46460/ijiea.1135754
Autor:
Zuhal KUCUKARSLAN YUZBASİ, Sevinç TAZE
Publikováno v:
Issue: 40 82-89
Journal of New Theory
Journal of New Theory
This paper finds sufficient conditions to determine a surface whose mean curvature along a given Smarandache curve is constant in a three-dimensional Lie group. This is accomplished by using the Frenet frames of the specified curve to express surface
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::993fdc89740aa4dd5621ab57fcb1cd48
https://dergipark.org.tr/tr/pub/jnt/issue/72878/1165809
https://dergipark.org.tr/tr/pub/jnt/issue/72878/1165809
Autor:
Zuhal KUCUKARSLAN YUZBASİ
Publikováno v:
Volume: 43, Issue: 1 77-81
Cumhuriyet Science Journal
Cumhuriyet Science Journal
Our purpose in this research is to use an alternative moving frame in the 3-dimensional Lie group to construct the problem of how to characterize a surface family and derive the conditions from a given common geodesic curve as an isoparametric curve.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a6e176661b9dc9364927d492ce34034
https://dergipark.org.tr/tr/pub/csj/issue/69185/975670
https://dergipark.org.tr/tr/pub/csj/issue/69185/975670
Publikováno v:
Thermal Science, Vol 23, Iss Suppl. 1, Pp 227-233 (2019)
In this work, the new coupled non-linear partial differential equations (CNLPDE) getting the time evolution of the curvatures of the evolving curve are derived in the Galilean space. Exact solutions for these new CNLPDE are obtained. Finally, Lie sym
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a14df0335e177954ef7a63ea2002c032
https://doi.org/10.2298/tsci181015036k
https://doi.org/10.2298/tsci181015036k
Publikováno v:
Volume: 51, Issue: 4 1005-1012
Hacettepe Journal of Mathematics and Statistics
Hacettepe Journal of Mathematics and Statistics
In the present article, we consider a parametric surface generated by the Frenet frame of a curve, and study the minimality condition for the surface. As a result, we give characterizations of a helicoid and a catenoid. Finally we show some examples
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d477b6b941784f5a3361b022fd683b43
https://dergipark.org.tr/tr/pub/hujms/issue/71298/881876
https://dergipark.org.tr/tr/pub/hujms/issue/71298/881876
In this paper, our aim is to give surfaces in the Galilean 3-space G3 with the property that there exist four geodesics through each point such that every surface built with the normal lines and the binormal lines along these geodesics is a surface w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::472d0f68cdb347a604a6750745f212d7
http://arxiv.org/abs/1907.13273
http://arxiv.org/abs/1907.13273