Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Kazım İLARSLAN"'
Publikováno v:
Surveys in Mathematics and its Applications, Vol 15 (2020), Pp 459-470 (2020)
Here we consider the plane curves whose curvature κ depends on the distance from the origin in Lorentz-Minkowski plane 𝔼12. We obtain their explicit parameterizations in the cases when the plane curves have curvatures which are linear or quadrati
Externí odkaz:
https://doaj.org/article/e0606f67f60e47f5b03c572c06511b6e
Publikováno v:
Symmetry, Vol 14, Iss 6, p 1191 (2022)
Bertrand curves are a pair of curves that have a common principal normal vector at any point and are related to symmetry properties. In the present paper, we define the notion of 1,3-V Bertrand curves in Euclidean 4-space. Then we find the necessary
Externí odkaz:
https://doaj.org/article/6a0c2566ccd1430ba2c376a4f9fa329d
Publikováno v:
Journal of Geometry. 114
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3a77575c801a887071ada1c6d6271ef
https://doi.org/10.1007/s00022-023-00676-4
https://doi.org/10.1007/s00022-023-00676-4
Autor:
Nihal Kilic Aslan, Kazım İlarslan
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:7588-7600
WOS: 000521599600001 In the present paper, we introduce the notion of Cartan-framed generalized null Mannheim curves in four-dimensional semi-Euclidean space with index 2, E24. We obtain the Cartan (or Frenet) frames and curvature functions of the ge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::71fcee497853024d2fc860aba79dcd4b
https://doi.org/10.1002/mma.6375
https://doi.org/10.1002/mma.6375
Autor:
Kazım İlarslan, Ali Uçum
Publikováno v:
Filomat. 34:4873-4880
In the present paper, we give the notion of k-type hyperbolic slant helices in H3, where k 2 {0,1,2,3}. We give the necessary and sufficient conditions for hyperbolic curves to be k-type slant helices in terms of their hyperbolic curvature functions.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe2901e3c78d06e844660039346030d0
https://doi.org/10.2298/fil2014873u
https://doi.org/10.2298/fil2014873u
Publikováno v:
Issue: 37 45-57
Journal of New Theory
Journal of New Theory
Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93b753cac0662ecdf896688b5dc925f7
https://dergipark.org.tr/tr/pub/jnt/issue/67808/1027564
https://dergipark.org.tr/tr/pub/jnt/issue/67808/1027564
Publikováno v:
Tamkang Journal of Mathematics. 54
In this article, a new approach is given for Mannheim curves in 3-dimensional Euclidean space. Thanks to this approach, the necessary and sufficient conditions including the known results have been obtained for a curve to be Mannheim curve in E³. In
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::543f465c2862e8abf867c376f784be5d
https://doi.org/10.5556/j.tkjm.54.2023.4085
https://doi.org/10.5556/j.tkjm.54.2023.4085
Publikováno v:
Journal of Geometry. 112
Associated with a Frenet curve $$\alpha $$ in Euclidean 3-space $$\mathbb {E} ^{3} $$ , there exists the notion of natural mate $$\beta $$ of $$\alpha $$ . In this article, we extend the natural mate $$\beta $$ to sequential natural mates $$\{ \alpha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::05be5a820edfa1954db4811c969950c6
https://doi.org/10.1007/s00022-021-00610-6
https://doi.org/10.1007/s00022-021-00610-6
Publikováno v:
Mediterranean Journal of Mathematics. 18
In this paper, we exhibit that non-trivial concircular vector fields play an important role in characterizing spheres, as well as Euclidean spaces. Given a non-trivial concircular vector field $$\xi $$ on a connected Riemannian manifold (M, g), two s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86338178bf791a11315b463385fad493
https://doi.org/10.1007/s00009-021-01869-4
https://doi.org/10.1007/s00009-021-01869-4
Autor:
Mehmet Yildirim, Kazım İlarslan
Publikováno v:
Filomat. 33:5743-5753
The present paper mainly deals with construction and investigation further properties of semi-parallel and harmonic surfaces. The first part of the study shall be devoted to investigate and present necessary and sufficient conditions of being semi-pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc621ac487c9dc32e8ca0809b39119d4
https://doi.org/10.2298/fil1917743y
https://doi.org/10.2298/fil1917743y