Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space

Gülnur Şaffak ATALAY; Emin KASAP

doi:https://doi.org/10.36753/mathenot.421425

Makale detayları

Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space

Yazarlar:

Gülnur Şaffak ATALAY | Emin KASAP

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2016 Vol.4 Issue 1, pp.164-174

Belge Tipi:

Makale

Yayın Tarihi:

4/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000542222

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.421425

Özet:

 


In this paper, we analyzed the problem of consructing a family of surfaces from a given some special
Smarandache curves in Euclidean 3-space. Using the Bishop frame of the curve in Euclidean 3-space,
we express the family of surfaces as a linear combination of the components of this frame, and derive
the necessary and sufficient conditions for coefficents to satisfy both the geodesic and isoparametric
requirements. Finally, examples are given to show the family of surfaces with common Smarandache
geodesic curve.

.

Makale detayları

Surfaces Family with Common Smarandache Geodesic Curve According to Bishop Frame in Euclidean Space

Yazarlar: Gülnur Şaffak ATALAY | Emin KASAP

Yayıncı: Murat TOSUN

Dergi: Mathematical Sciences and Applications E-Notes 2016 Vol.4 Issue 1, pp.164-174

Belge Tipi: Makale

Yayın Tarihi: 4/2016

Belge Dili: İngilizce

Document ID (Org No.): 2000542222

Sıklık: Üç Aylık

eISSN: 2147-6268

DOI: https://doi.org/10.36753/mathenot.421425

Sayı

Yazarlar:

Gülnur Şaffak ATALAY | Emin KASAP

Yayıncı:

Murat TOSUN

Dergi:

Mathematical Sciences and Applications E-Notes 2016 Vol.4 Issue 1, pp.164-174

Belge Tipi:

Makale

Yayın Tarihi:

4/2016

Belge Dili:

İngilizce

Document ID (Org No.):

2000542222

Sıklık:

Üç Aylık

eISSN:

2147-6268

DOI:

https://doi.org/10.36753/mathenot.421425