On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

Semra Yurttançıkmaz

Makale detayları

On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

Yazarlar:

Semra Yurttançıkmaz

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.867-879

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001303609

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E3. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.

 In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E3. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.

 In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E3. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.

 In this paper, it has been researched curves lying on parallel-like surfaces Mf of the ruled surface M in E3. Using the definition of parallel-like surfaces it has been found parametric expressions of parallel-like surface of the ruled surface and image curve of the directrix curve of the base surface. Moreover, obtaining Darboux frames of curves lying on surfaces M and Mf, it has been compared the geodesic curvatures, the normal curvatures and the geodesic torsions of these curves.

Makale detayları

On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

Yazarlar:

Semra Yurttançıkmaz

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.867-879

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001303609

pISSN:

1303-5991

Ruled surface

parallel-like surface

Darboux frame

Sayı

Makale detayları

On the curves lying on parallel-like surfaces of the ruled surface in $E^{3}$

Yazarlar: Semra Yurttançıkmaz

Yayıncı: Ankara University

Ana Başlıklar: Applied Mathematics

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.867-879

Belge Tipi: Makale

Yayın Tarihi: 12/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001303609

pISSN: 1303-5991

Ruled surface

parallel-like surface

Darboux frame

Sayı

Yazarlar:

Semra Yurttançıkmaz

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 4, pp.867-879

Belge Tipi:

Makale

Yayın Tarihi:

12/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001303609

pISSN:

1303-5991