Generalized Bertrand and Mannheim Curves in 3D Lie Groups

OZ Okuyucu - Fundamental Journal of Mathematics and …, 2022 - dergipark.org.tr
In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups
with bi-invariant metrics. In this way, some conditions including the known results have been …

Special curves of 4D Galilean space

M Bektaş, M Ergüt, AO Öğrenmiş - arXiv preprint arXiv:1111.0419, 2011 - arxiv.org
Special curves and their characterizations are one of the main area of mathematicians and
physicians. As a special curve we will mainly focus on Mannheim curve which has the …

The Spinor Expressions of Mannheim Curves in Euclidean 3-Space

T Erişir, Z İsabeyoğlu - International Electronic Journal of Geometry, 2023 - dergipark.org.tr
In this paper, the spinor formulations of Mannheim curve pair are investigated. First of all,
two spinors matching to Mannheim curve pair are given and by considering the relationships …

[PDF][PDF] Special associated curves in Galilean 4-Space G4

G ALTAY, H OZTEKIN, M ERGUT… - BOOK OF …, 2017 - sajm-online.com
Special Associated Curves in Galilean 4-Space G Page 1 RESEARCH ARTICLE Citation: Gülden
Altay, Handan Öztekin, Mahumut Ergüt, Talat Körpinar, Special Associated Curves in Galilean …

Some Properties of Mannheim Curves in Galilean and Pseudo-Galilean space

AO Öğrenmiş, H Öztekin, M Ergüt - arXiv preprint arXiv:1111.0424, 2011 - arxiv.org
arXiv:1111.0424v1 [math.DG] 2 Nov 2011 Page 1 arXiv:1111.0424v1 [math.DG] 2 Nov 2011
Some Properties of Mannheim Curves in Galilean and Pseudo - Galilean space Alper …