Characterizations of Loxodromes on Rotational Surfaces in Euclidean 3-Space
Yazarlar (3)
Prof. Dr. Ferdağ KAHRAMAN AKSOYAK Kırşehir Ahi Evran Üniversitesi, Türkiye
Burcu Bektaş Demirci Fatih Sultan Mehmet Vakıf Üniversitesi, Türkiye
Murat Babaarslan Yozgat Bozok Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(ESCI dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | International Electronic Journal of Geometry | ||
| Dergi ISSN | 1307-5624 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | Türkçe | Basım Tarihi | 01-2023 |
| Kabul Tarihi | 12-04-2026 | Yayınlanma Tarihi | – |
| Cilt / Sayı / Sayfa | 16 / 1 / 147–159 | DOI | 10.36890/IEJG.1161830 |
| Makale Linki | https://dergipark.org.tr/en/download/article-file/2595623 | ||
| Özet |
| In this paper, we study on the characterizations of loxodromes on the rotational surfaces satisfying some special geometric properties such as having constant Gaussian curvature and a constant ratio of principal curvatures (CRPC rotational surfaces). First, we give the parametrizations of loxodromes parametrized by arc-length parameter on any rotational surfaces in and then, we calculate the curvature and the torsion of such loxodromes. Then, we give the parametrizations of loxodromes on rotational surfaces with constant Gaussian curvature. Also, we investigate the loxodromes on the CRPC rotational surfaces. Moreover, we give the parametrizations of loxodromes on the minimal rotational surface which is a special case of CRPC rotational surfaces. Finally, we give some visual examples to strengthen our main results via Wolfram Mathematica. |
| Anahtar Kelimeler |
| asymptotic curve | curvature | Euclidean 3-space | Gaussian curvature | helix | Loxodrome | mean curvature | minimal surfaces | rotational surface | torsion |
| Atıf Sayıları | |
| Google Scholar | 3 |
| Scopus | 2 |
| Web of Science | 2 |