[HTML][HTML] Generalized Bertrand Curves of Non-Light-like Framed Curves in Lorentz–Minkowski 3-Space

L Wu, A Zhou, K Yao, D Pei - Mathematics, 2024 - mdpi.com
In this paper, we define the generalized Bertrand curves of non-light-like framed curves in
Lorentz–Minkowski 3-space; their study is essential for understanding many classical and …

Padovan and Perrin Hyperbolic Spinors

Z İşbilir, IA Kösal, M Tosun - arXiv preprint arXiv:2405.13163, 2024 - arxiv.org
In this study, we intend to bring together Padovan and Perrin number sequences, which are
one of the most popular third-order recurrence sequences, and hyperbolic spinors, which …

Spinor representations of positional adapted frame in the Euclidean 3-space

Z İşbilir, KE Özen, M Güner - International Electronic Journal of …, 2022 - dergipark.org.tr
The main goal of this study is to bring together the spinors, which have a major place in
several disciplines from mathematics to physics, and Positional Adapted Frame (PAF) which …

[PDF][PDF] SPINOR REPRESENTATIONS OF PAFORS IN E 3

Z İşbilir, KE Özen, M Güner - Journal of Science and Arts, 2024 - josa.ro
In this paper, we introduce the spinor representations of PAFORS for the trajectories
endowed with PAFORS on regular surfaces of Euclidean 3-space 3. We find the spinor …

Hyperbolic Spinor Representations of Non-Null Framed Curves

Z İşbilir, BD Yazıcı, M Güner - arXiv preprint arXiv:2311.17418, 2023 - arxiv.org
In this paper, we intend to bring together the hyperbolic spinors, which are useful
frameworks from mathematics to physics, and both spacelike and timelike framed curves in …

[PDF][PDF] SPINOR REPRESENTATIONS OF FRAMED CURVES IN THE THREE-DIMENSIONAL LIE GROUPS

Z Isbilir, BD YAZICI, M Tosun - 2023 - researchgate.net
In this study, we determine the spinor representations of special singular curves (framed
curves) in the three-dimensional Lie groups with a biinvariant metric. Also, we construct …

[PDF][PDF] SPINOR REPRESENTATIONS OF A CURVE WITH FRENET-TYPE FRAME IN MYLLER CONFIGURATION FOR 3-DIMENSIONAL LIE GROUPS

Z ISBILIR, BD YAZICI, M TOSUN - Түркi әлемi математиктерiнiң VII … - academia.edu
In this paper, we introduce the representation of a curve with Frenet-type frame in Myller
configuration for 3-dimensional Lie groups by using the spinors, which are a widely used …