Some new types of associated curves in euclidean 3-space

Sibel Özdoğan; O. Oğulcan Tuncer; İsmail Gök; Yusuf Yaylı

doi:10.2478/auom-2018-0013

Some new types of associated curves in euclidean 3-space

Sibel Özdoğan
, O. Oğulcan Tuncer
, İsmail Gök
, Yusuf Yaylı

Geometri Anabilim Dalı

Ankara University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Alıntılar (Scopus)

Özet

In this paper, we introduce the concept of D-direction curve and C-direction curve of a given curve using the alternative frame {N, C, W} in Euclidean 3-space. Furthermore, we define a (N, C) plane curve, a (N, W) plane curve and a (C, W) plane curve of a given curve, and give some results related to them. Finally, we present some illustrated examples for new associated curves.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	205-221
Sayfa sayısı	17
Dergi	Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
Hacim	26
Basın numarası	1
DOI'lar	https://doi.org/10.2478/auom-2018-0013
Yayın durumu	Yayınlandı - 2018

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10.2478/auom-2018-0013

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keywords = "Associated curves, C-slant helix, General helix, Integral curve, Slant helix",

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year = "2018",

doi = "10.2478/auom-2018-0013",

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AU - Oğulcan Tuncer, O.

AU - Gök, İsmail

AU - Yaylı, Yusuf

PY - 2018

Y1 - 2018

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AB - In this paper, we introduce the concept of D-direction curve and C-direction curve of a given curve using the alternative frame {N, C, W} in Euclidean 3-space. Furthermore, we define a (N, C) plane curve, a (N, W) plane curve and a (C, W) plane curve of a given curve, and give some results related to them. Finally, we present some illustrated examples for new associated curves.

KW - Associated curves

KW - C-slant helix

KW - General helix

KW - Integral curve

KW - Slant helix

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JO - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

JF - Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica

IS - 1

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Some new types of associated curves in euclidean 3-space

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