Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame

Nabil ALTHİBANY

doi:https://doi.org/10.53570/jnt.1036307

Makale detayları

Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame

Yazarlar:

Nabil ALTHİBANY

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2021 Issue 37, pp.99-107

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000490261

Sıklık:

Üç Aylık

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.1036307

Özet:

 

This paper aims to design a generalized cylinder with a geodesic base curve according to the Darboux frame in Euclidean 3-space. A generalized cylinder is a special ruled surface that is constructed by a continuous fixed motion of a generator line called the ruling along a given curve called the base curve. The necessary and sufficient conditions for the base curve to be geodesic are studied. The main results show that the generalized cylinder with a geodesic base curve is an osculating cylinder whose base curve is a helical geodesic, and the rulings are directed by the unit osculating Darboux vector.

Makale detayları

Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame

Yazarlar: Nabil ALTHİBANY

Yayıncı: Tokat Gaziosmanpasa University

Ana Başlıklar: Matematik

Dergi: Journal of New Theory 2021 Issue 37, pp.99-107

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000490261

Sıklık: Üç Aylık

pISSN: 2149-1402

DOI: https://doi.org/10.53570/jnt.1036307

Sayı

Yazarlar:

Nabil ALTHİBANY

Yayıncı:

Tokat Gaziosmanpasa University

Ana Başlıklar:

Matematik

Dergi:

Journal of New Theory 2021 Issue 37, pp.99-107

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000490261

Sıklık:

Üç Aylık

pISSN:

2149-1402

DOI:

https://doi.org/10.53570/jnt.1036307