Direction curves of generalized Bertrand curves and involute-evolute curves in  E4E4E^{4}

Mehmet ÖNDER

doi:https://doi.org/10.31801/cfsuasmas.950707

Makale detayları

Direction curves of generalized Bertrand curves and involute-evolute curves in E4E4E^{4}

Yazarlar:

Mehmet ÖNDER

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2022 Vol.71 Issue 2, pp.326-338

Belge Tipi:

Makale

Yayın Tarihi:

6/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000908795

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.950707

Özet:

 

In this study, we define (1,3)-Bertrand-direction curve and (1,3)-Bertrand-donor curve in the 4-dimensional Euclidean space E4E4E^{4}. We introduce necessary and sufficient conditions for a special Frenet curve to have a (1,3)-Bertrand-direction curve. We introduce the relations between Frenet vectors and curvatures of these direction curves. Furthermore, we investigate whether (1,3)-evolute-donor curves in E4E4E^{4} exist and show that there is no (1,3)-evolute-donor curve in E4E4E^{4} .

Makale detayları

Direction curves of generalized Bertrand curves and involute-evolute curves in E4E4E^{4}

Yazarlar: Mehmet ÖNDER

Yayıncı: Ankara University

Ana Başlıklar: Matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2022 Vol.71 Issue 2, pp.326-338

Belge Tipi: Makale

Yayın Tarihi: 6/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000908795

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.950707

Sayı

Yazarlar:

Mehmet ÖNDER

Yayıncı:

Ankara University

Ana Başlıklar:

Matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2022 Vol.71 Issue 2, pp.326-338

Belge Tipi:

Makale

Yayın Tarihi:

6/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000908795

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.950707