On spinor construction of Bertrand curves

Eri̇şi̇r, Tülay

doi:10.3934/math.2021213

Cited by 12 publications

(9 citation statements)

References 15 publications

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“…In addition to that, the spinor representations of some curve pairs selected in Minkowski space were obtained [4,10,17]. In addition to these studies, Erişir and Karda ǧ found spinor formulations of involute-evolute curves, which are a special curve pair in Euclidean space E 3 [11] and the spinor equations of Bertrand curves were obtained in [12].…”

Section: Introductionmentioning

confidence: 94%

The Spinor Expressions of Mannheim Curves in Euclidean 3-Space

Eri̇şi̇r

İSABEYOĞLU

2023

International Electronic Journal of Geometry

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In this paper, the spinor formulations of Mannheim curve pair are investigated. First of all, two spinors matching to Mannheim curve pair are given and by considering the relationships between the Frenet frames of Mannheim curve pair, the relationship between two spinors matching to this curve pair are gotten. Therefore, a geometric interpretations of spinors are obtained using the Mannheim curve pair and considering Mannheim curve as helix the spinor formulations of Mannheim curve pair are given. Moreover, the spinor formulations are also obtained for the curvatures of the Mannheim curve pair. Consequently, an example of these spinors is obtained. Therefore, it is thought that this study will make an important contribution to the mathematical analysis and geometric interpretation of spinors, which have many uses in physics.

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Section: Introductionmentioning

confidence: 94%

The Spinor Expressions of Mannheim Curves in Euclidean 3-Space

Eri̇şi̇r

İSABEYOĞLU

2023

International Electronic Journal of Geometry

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“…Dava yetkini davayı asıl hak sahibi adına yürütür ve bundan dolayı davanın tarafı asıl hak sahibidir. Böylece davanın sonunda verilecek hüküm asıl hak sahibi bakımından kesin hüküm teşkil edecek ve kesin hükmün sirayeti sorunu gündeme gelmeyecektir 93 .…”

Section: Davanin Taraflariunclassified

İcra Hukukunda Borçlu Adına Tescili Talep veya Dava Etme Yetkisinin Alacaklıya Verilmesi

Bozok

2020

Marmara Üniversitesi Hukuk Fakültesi Hukuk Araştırmaları Dergisi

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Gerçekte borçluya ait olmakla birlikte, henüz tapu siciline tescil edilmemiş veya tapu sicilinde üçüncü kişi adına kayıtlı olan ayni hakların haczi mümkün değildir. Bu hakların haczedilebilmesi için öncelikle tapu sicilindeki kaydın borçlu tarafından düzelttirilmesi gerekir. Ancak borçlu çeşitli gerekçelerle tescili gerçekleştirmekten kaçınabilir. Bu gerekçelerin başında hakkın tescil edilmesi hâlinde alacaklılar tarafından haczedilebileceği çekincesi gelmektedir. Bundan dolayı kanun koyucu alacaklıya, borçluya ait ayni hakların tapu siciline tescil edilmesini sağlama imkânı vermiştir. Alacaklı bu imkâna, belirli şartların gerçekleşmesi üzerine icra dairesinden alacağı yetki ile kavuşur. İcra dairesinden yetki alan alacaklı, tescil için gerekli işlemleri yapabilir ve icabında mahkemede dava açabilir. Tescilin gerçekleştirilmesi ile söz konusu hak, alacaklı lehine mahcuz sayılır.

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“…Spinors are considered as multi linear transformations and by this property, spinors are mathematical structure. According to the mathematicians spinors are a vectorial structure and this multi-linear property does not matter [11,13,14]. The first mathematician who studied the spinors in geometrical sense is Élie Cartan [3].…”

Section: Introductionmentioning

confidence: 99%

“…Cartan stated that these vectors are complex as two-dimensional in the space C 2 . Moreover, Cartan [3] expressed the spinors comprising of two complex components in terms of vectors in Euclidean 3-space and specified that spinors supply a linear representation of the groups of rotations of a space of any dimension [11,13]. The triads of unit vectors which are orthogonal to each other were stated in terms of a single vector having two complex components, that is called a spinor [3,9,10].…”

Section: Introductionmentioning

confidence: 99%

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Spinor Representations of Positional Adapted Frame in the Euclidean 3-Space

İşbilir

Özen

Güner

2023

International Electronic Journal of Geometry

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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 is a new type frame that attracts the attention of many researchers. In accordance with this purpose, we introduce the spinor representations for the trajectories endowed with PAF in the Euclidean 3-space $\mathbb{E}^3$, and construct the spinor equations of PAF vectors. Then, we find the relations between spinor representations of PAF and Serret-Frenet frame. Also we give some results and present some geometric interpretations with respect to this relationship. Moreover, we present an illustrative numerical example in order to support the given theorems and results.

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On spinor construction of Bertrand curves

Cited by 12 publications

References 15 publications

The Spinor Expressions of Mannheim Curves in Euclidean 3-Space

The Spinor Expressions of Mannheim Curves in Euclidean 3-Space

İcra Hukukunda Borçlu Adına Tescili Talep veya Dava Etme Yetkisinin Alacaklıya Verilmesi

Spinor Representations of Positional Adapted Frame in the Euclidean 3-Space

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