Zobrazeno 1 - 10 of 33 pro vyhledávání: '"Günay ÖZTÜRK"'
1
Akademický článek
Quaternionic Curves Which Lie on the Special Planes in 4−Dimensional Euclidean Space E4
Autor: İlim Kişi, Sezgin Büyükkütük, Günay Öztürk
Publikováno v: Journal of Mathematics, Vol 2024 (2024)
In this study, some curvature conditions of quaternionic curves are obtained by writing the position vectors of quaternionic curves as linear combinations of new vector fields, named as Di 1≤i≤4, that are produced from Frenet frame fields of the
Externí odkaz: https://doaj.org/article/0d9603b366e7468d81729d52028468fd
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2
Akademický článek
Canal surfaces in 4-dimensional Euclidean space
Autor: Betül Bulca, Kadri Arslan, Bengü Bayram, Günay Öztürk
Publikováno v: An International Journal of Optimization and Control: Theories & Applications, Vol 7, Iss 1, Pp 83-89 (2016)
In the present study, we consider canal surfaces imbedded in an Euclidean space of four dimensions. The curvature properties of these surface are investigated with respect to the variation of the normal vectors and curvature ellipse. We also give som
Externí odkaz: https://doaj.org/article/98b3b5537fe7437281e40ca971773389
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3
A new characterization of Aminov surface with regards to its Gauss map in E^4
Autor: Sezgin BÜYÜKKÜTÜK, Günay ÖZTÜRK
Publikováno v: Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 12:25-32
In this work, we focus on Aminov surface with regard to its Gauss map in E^4. Firstly, we write the covariant derivatives according to linear combinations of orthonormal vectors and separate the equalities using Gauss and Weingarten formulas. Then, w
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e99f65160f9b7d302b1a5f128c55b5a6
https://doi.org/10.17798/bitlisfen.1170647
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5
Constant ratio timelike curves in pseudo-Galilean 3-space \mathbb{G}_{3}^{1}
Autor: Sezgin Büyükkütük, Günay Öztürk, İlim Kişi
Publikováno v: Creative Mathematics and Informatics. 27:57-62
In this paper, we consider unit speed timelike curves in pseudo-Galilean 3-space \mathbb{G}_{3}^{1} as curves whose position vectors can be written as linear combination of their Serret-Frenet vectors. We obtain some results of constant ratio curves
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::eb2847bba0c510b8b052d647dbfea6aa
https://doi.org/10.37193/cmi.2018.01.08
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6
A new characterization of curves on dual unit sphere
Autor: İlim kişi, Sezgin Büyükkütük, Günay Öztürk
Publikováno v: Journal of Abstract and Computational Mathematics, Vol 2, Iss 1, Pp 71-76 (2017)
The position vectors of unit speed spherical curves can be expressed with the help of their Frenet frame vectors. In this paper, we classify such curves and get certain consequences for T-constant and N-constant types of curves in dual space D^3.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::72d8f2f063e82fd1638f32044a51f6ab
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8328
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7
A characterization of curves according to parallel transport frame in Euclidean n-space E^n
Autor: Sezgin Büyükkütük, Günay Öztürk, İlim Kişi
Publikováno v: New Trends in Mathematical Sciences, Vol 5, Iss 2, Pp 61-68 (2017)
Volume: 5, Issue: 2 61-68
New Trends in Mathematical Sciences
The position vector of a regular curve in Euclidean n-space En can be written as a linear combination of its parallel transportvectors. In the present study, we characterize such curves in terms of their curvature functions. Further, we obtain some r
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7812201428ca1adc89b7138d9269bf2b
https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8276
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8
Some Characterizations of Curves in n-dimensional Euclidean Space
Autor: Sezgin Büyükkütük, İlim Kişi, Günay Öztürk, Kadri Arslan
Publikováno v: Volume: 10, Issue: 2 1273-1285
Journal of the Institute of Science and Technology
In this work, we deal with a curve whose position vector can be expressed with the help of Frenet Frame in  n dimensional Euclidean space n IE . We classify this type of curve with regards to curvature functions and get certain consequences for
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a1a559dcb999013416333b592ce6757
https://dergipark.org.tr/tr/pub/jist/issue/54316/631448
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9
Bishop Çatısına Göre AW(k)-Tipinden Eğriler
Autor: İlim Kişi, Günay Öztürk
Publikováno v: Volume: 19, Issue: 3 620-625
Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi
Paralel cati ya da alternatif cati olarak da adlandirilan Bishop catisi paralel vektor alanlari yardimiyla L.R. Bishop tarafindan 1975 yilinda tanimlanmistir. Son zamanlarda, bu cati ile ilgili bircok arastirma makalesi Oklid uzayinda ele alinmistir.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1de6860e9d412acacf7b965c1a8df6ef
https://dergipark.org.tr/tr/pub/akufemubid/issue/51083/597100
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10
A new type of canal surface in Euclidean 4-space E^4
Autor: Günay Öztürk, Kadri Arslan, İlim Kişi
Publikováno v: Volume: 23, Issue: 5 801-809
Sakarya University Journal of Science
Bu çalışmada, E^4 4-boyutlu Öklid uzayında, merkez eğrisinin paralel öteleme çatısı vektörleri yardımıyla tanımlanan kanal yüzeyini örneği ile verdik. Bu yüzeyin eğrilik özelliklerini paralel öteleme çatısına göre eğrilik fo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9bb4a0dbc42b1510052c1807ab58ae40
https://dergipark.org.tr/tr/pub/saufenbilder/issue/44066/524471
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