Ruled surfaces and tangent bundle of unit 2-sphere

F Hathout, M Bekar, Y Yayli - International Journal of Geometric …, 2017 - World Scientific
In this paper, a one-to-one correspondence is given between the tangent bundle of unit 2-
sphere, T 𝕊 2, and the unit dual sphere, 𝕊 𝔻 2. According to Study's map, to each curve on 𝕊 …

Big data oriented intelligent traffic evacuation path fuzzy control system

X Li, J Hsiao - Journal of Intelligent & Fuzzy Systems, 2018 - content.iospress.com
The current traffic evacuation path control system has high risk coefficient and path
congestion, and low efficiency and system error coefficient. For this problem, a fuzzy control …

[PDF][PDF] Legendre curves and the singularities of ruled surfaces obtained by using rotation minimizing frame

M Bekar, F Hathout, Y Yayli - Ukrains' kyi Matematychnyi Zhurnal, 2021 - umj.imath.kiev.ua
1. Introduction. One of the most known orthonormal frame on a space curve is the Frenet–
Serret frame, comprising the tangent vector field T, the principal normal vector field N and …

N-Legendre and N-slant curves in the unit tangent bundle of Minkowski surfaces

M Bekar, F Hathout, Y Yayli - Asian-European Journal of …, 2018 - World Scientific
Let (T 1 𝕄 1 2, g 1) be a unit tangent bundle of Minkowski surface (𝕄 1 2, g) endowed with
the pseudo-Riemannian induced Sasaki metric. In this present paper, we studied the N …

Some special curves in the unit tangent bundles of surfaces

M Altunbaş - arXiv preprint arXiv:2204.03260, 2022 - arxiv.org
arXiv:2204.03260v1 [math.DG] 7 Apr 2022 Page 1 arXiv:2204.03260v1 [math.DG] 7 Apr 2022
SOME SPECIAL CURVES IN THE UNIT TANGENT BUNDLES OF SURFACES MURAT …

[PDF][PDF] Singularities of rectifying developable surfaces of Legendre curves on UTS^ 2

M Bekar, F Hathout, Y YAYLI - International Journal of Geometry, 2022 - ijgeometry.com
In this paper, we study rectifying Gaussian surfaces of Legendre curves on unit tangent
bundle of unit 2-sphere, UTS2. We introduce on UTS2 two rectifying developable surfaces of …

[PDF][PDF] LEGENDRE CURVES AND THE SINGULARITIES OF RULED SURFACES OBTAINED BY USING ROTATION MINIMIZING FRAME КРИВI ЛЕЖАНДРА ТА …

M Bekar, F Hathout, Y Yayli - jnas.nbuv.gov.ua
1. Introduction. One of the most known orthonormal frame on a space curve is the Frenet–
Serret frame, comprising the tangent vector field T, the principal normal vector field N and …

N-Legendre and N-slant curves in the unit tangent bundles of Minkowski surfaces with natural diagonal structures

M Altunbaş - Journal of Mathematical Extension, 2022 - ijmex.com
N-Legendre and N-Slant Curves in the Unit Tangent Bundles of Minkowski Surfaces with
Natural Diagonal Structures 1 Introduction Page 1 Journal of Mathematical Extension Vol. 16 …

Legendre curves and singularities of a ruled surface according to rotation minimizing frame

M Bekar, F Hathout, Y Yayli - arXiv preprint arXiv:1706.05321, 2017 - arxiv.org
arXiv:1706.05321v2 [math.DG] 16 Mar 2018 Page 1 Legendre curves and singularities of a
ruled surface according to rotation minimizing frame Murat Bekar 1,∗, Fouzi Hathout2, Yusuf …

[PDF][PDF] Legender Curves and Singularities of a Ruled Surfaces According to the RM Frame

M Bekar, F Hathout, Y Yayli - arXiv preprint arXiv:1706.05321, 2017 - researchgate.net
Legender Curves and Singularities of a Ruled Surfaces According to the RM Frame arXiv:1706.05321v1
[math.DG] 16 Jun 2017 Page 1 Legender Curves and Singularities of a Ruled Surfaces …