Finslerian Viewpoint to the Rectifying, Normal, and Osculating Curves

Zehra OZDEMİR; Fatma ATES; Nejat EKMEKÇİ

doi:https://doi.org/10.36890/iejg.993188

Makale detayları

Finslerian Viewpoint to the Rectifying, Normal, and Osculating Curves

Yazarlar:

Zehra OZDEMİR | Fatma ATES | Nejat EKMEKÇİ

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.30-38

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471468

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.993188

Özet:

 

The theory of Finsler metric was introduced by Paul Finsler, in 1918. The author defines this metric using the Minkowski norm instead of the inner product. Therefore, this geometry is a more general metric and includes the Riemannian metric. In the present work, using the Finsler metric, we investigate the position vector of the rectifying, normal and osculating curves in Finslerian 3-space F3F3\mathbb{F}^{3}. We obtain the general characterizations of these curves in F3F3\mathbb{F}^{3}. Furthermore, we show that rectifying curves are extremal curves derived from the Finslerian spherical curve. We also plotted various examples by using the Randers metrics.

Makale detayları

Finslerian Viewpoint to the Rectifying, Normal, and Osculating Curves

Yazarlar: Zehra OZDEMİR | Fatma ATES | Nejat EKMEKÇİ

Yayıncı: Kazım İLARSLAN

Ana Başlıklar: Matematik

Dergi: International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.30-38

Belge Tipi: Makale

Yayın Tarihi: 4/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000471468

Sıklık: İki Yıllık

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.993188

Sayı

Yazarlar:

Zehra OZDEMİR | Fatma ATES | Nejat EKMEKÇİ

Yayıncı:

Kazım İLARSLAN

Ana Başlıklar:

Matematik

Dergi:

International Electronic Journal of Geometry 2022 Vol.15 Issue 1, pp.30-38

Belge Tipi:

Makale

Yayın Tarihi:

4/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000471468

Sıklık:

İki Yıllık

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.993188