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 …

[PDF][PDF] Relatively normal-slant helices lying on a surface and their characterizations

M Düldül - Hacettepe Journal of Mathematics and Statistics, 2017 - dergipark.org.tr
In this paper, we consider a regular curve on an oriented surface in Euclidean 3-space with
the Darboux frame {T,U,V\} along the curve, where T is the unit tangent vector field of the …

()-type slant helices for partially null and pseudo null curves in Minkowski space

M Bektaş, MY Yilmaz - Applied Mathematics and Nonlinear Sciences, 2020 - sciendo.com
()-type slant helices for partially null and pseudo null curves in Minkowski space Blog
English EnglishGerman Sciendo Logo Login Publish with us Subjects Architecture and …

[PDF][PDF] Darboux helices in three dimensional Lie groups

U Öztürk, ZB Alkan - AIMS Mathematics, 2020 - aimspress.com
In this paper, we introduce Darboux helices in a three dimensional Lie group G with a
biinvariant metric and give some characterizations of Darboux helices. Besides, we give …

Timelike clad helices and developable surfaces in Minkowski 3-space

S Kaya, O Ateş, İ Gök, Y Yayli - … del Circolo Matematico di Palermo Series …, 2019 - Springer
The main goal of the paper is to introduce timelike clad (C-slant curves or 2-type slant
curves) and g-clad helices (3-type slant curves) which are generalizations of the concept of …

A New Approach on Helices in Pseudo‐Riemannian Manifolds

E Zıplar, Y Yaylı, İ Gök - Abstract and Applied Analysis, 2014 - Wiley Online Library
A proper curve α in the n‐dimensional pseudo‐Riemannian manifold (M, g) is called a Vn‐
slant helix if the function g (Vn, X) is a nonzero constant along α, where X is a parallel vector …

[PDF][PDF] C-partner curves with modified adapted frame and their applications

S Kızıltug, T Erisir, G Mumcu, Y Yaylı - 2023 - aimspress.com
In this study, the curve theory, which occupies a very important and wide place in differential
geometry, has been studied. One of the most important known methods used to analyze a …

[PDF][PDF] Slant helices of (k, m)-type in 𝔼

MY Yilmaz, M Bektaş - Acta Universitatis Sapientiae, Mathematica, 2018 - sciendo.com
Slant helices of (k, m)-type in E Page 1 Acta Univ. Sapientiae, Mathematica, 10, 2 (2018)
395–401 DOI: 10.2478/ausm-2018-0031 Slant helices of (k, m)-type in E4 Münevver Yildirim …

Stability and bifurcation analysis on an ecoepidemiological model with stage structure and time delay

L Wang, G Feng - Abstract and Applied Analysis, 2014 - Wiley Online Library
An ecoepidemiological predator‐prey model with stage structure for the predator and time
delay due to the gestation of the predator is investigated. The effects of a prey refuge with …

Differential Equations of Rectifying Curves and Focal Curves in

B Yılmaz, İ Gök, Y Yaylı - Journal of Mathematical Sciences and Modelling - dergipark.org.tr
In this present paper, rectifying curves are re-characterized in a shorter and simpler way
using harmonic curvatures and some relations between rectifying curves and focal curves …