Tubular surfaces in Galilean space

M Dede - Mathematical Communications, 2013 - hrcak.srce.hr
Tubular surfaces in Galilean space 1. Introduction Page 1 MATHEMATICAL
COMMUNICATIONS 209 Math. Commun. 18(2013), 209–217 Tubular surfaces in Galilean …

Canal surfaces with quaternions

S Aslan, Y Yaylı - Advances in Applied Clifford Algebras, 2016 - Springer
Quaternions are more usable than three Euler angles in the three dimensional Euclidean
space. Thus, many laws in different fields can be given by the quaternions. In this study, we …

Characterizations of adjoint curves in Euclidean 3-space

SK Nurkan, İA Güven, MK Karacan - … of the National Academy of Sciences …, 2019 - Springer
The characterizations of adjoint curves of a space curve in Euclidean 3-space have been
done in the present study. A curve and its adjoint curve create new pairs like Bertrand and …

[PDF][PDF] On the modified orthogonal frame with curvature and torsion in 3-space

B Bükcü, MK Karacan - Mathematical Sciences and Applications E …, 2016 - dergipark.org.tr
On The Modified Orthogonal Frame with Curvature and Torsion in 3-Space Page 1
MATHEMATICAL SCIENCES AND APPLICATIONS ENotes 4 (1) 184-188 (2016) c MSAEN On …

Quaternionic approach of canal surfaces constructed by some new ideas

İ Gök - Advances in Applied Clifford Algebras, 2017 - Springer
A canal surface is a surface constructed as the envelope of a family of spheres with the
parametric (non constant radii) radii r (s) and a space curve α (s) α (s) called its center. If the …

Tubular surfaces with modified orthogonal frame in Euclidean 3-space

M Akyigit, K Eren, HH Kosal - Honam Mathematical Journal, 2021 - koreascience.kr
In this study, tubular surfaces that play an important role in technological designs in various
branches are examined for the case of the base curve is not satisfying the fundamental …

A new representation of canal surfaces with split quaternions in Minkowski 3-space

E Kocakuşaklı, OO Tuncer, İ Gök, Y Yaylı - Advances in Applied Clifford …, 2017 - Springer
In this paper, we introduce canal surfaces determined by spherical indicatrices of any spatial
curve in Minkowski 3-space by means of timelike split quaternions. Moreover, using …

[PDF][PDF] Tubular surfaces of Weingarten types in Minkowski 3-space

MK Karacan, DW Yoon, Y Tuncer - Gen. Math. Notes, 2014 - Citeseer
In this paper, we study tubular surfaces in Minkowski 3-space satisfying some equations in
terms of the Gaussian curvature, the mean curvature, the second Gaussian curvature and …

Tubular involutive surfaces with Frenet frame in Euclidean 3-space

M Bilici, G Koseoglu - Maejo International Journal of Science …, 2023 - search.proquest.com
In this study we first define the tubular involutive surfaces as a new surface form. We then
investigate singularity, Gaussian curvature and mean curvatures of the tubular involutive …

A study of the tubular surfaces constructed by thespherical indicatrices in Euclidean space

F ATEŞ, E KOCAKUŞAKLI, İ GÖK… - Turkish Journal of …, 2018 - journals.tubitak.gov.tr
A basic goal of this paper is to investigate the tubular surface constructed by the spherical
indicatrices of any spatial curve in the Euclidean $3-$ space. This kind of tubular surface is …