Homothetic Motions and Dual Transformations

YÜCA, Gülsüm; yaylı, yusuf

Homothetic Motions and Dual Transformations

Gülsüm YÜCA, (Aksaray Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü, Aksaray, Türkiye)

Yusuf YAYLI (Ankara Üniversitesi, Fen Edebiyat Fakültesi Matematik Bölümü, Ankara, Türkiye)

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi

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Yıl: 2021 Cilt: 37 Sayı: 1 Sayfa Aralığı: 194 - 205 Metin Dili: İngilizce İndeks Tarihi: 17-10-2021

Homothetic Motions and Dual Transformations

Öz:

In this research, we produce a homothetic motion in 𝐸1𝑛 from a homothetic motion in 𝐸𝑛 by using a dual transformation. Furthermore, we define a transition from Euclidean umbrella matrix to Lorentzian umbrella matrix. Then, we examine the invariance of the axis of the umbrella motion that is 𝑥⃗=(1,1,..,1) in both spaces. We also provide examples to make our results clear. Moreover, we draw their figures to investigate visual representations. Finally, we study on homothetic motions in dual spaces.

Anahtar Kelime:

Homotetik Hareketler ve Dual Dönüşümler

Öz:

Bu çalışmada, dual dönüşüm yardımıyla 𝐸1𝑛 deki homotetik hareketlerden 𝐸𝑛 de homotetik hareketler elde ettik. Ayrıca, Öklidyen şemsiye matrisleri ile Lorentzian şemsiye matrisleri arasında bir geçiş sağladık. Daha sonra, şemsiye hareketinin ekseni olan 𝑥⃗=(1,1,..,1) in iki uzayda da sabit kaldığını gösterdik. Elde edilen sonuçların pekiştirilmesi amacıyla örnekler vererek şekillerini çizdik. Son olarak, homotetik hareketleri dual uzaylarda çalıştık.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	YÜCA G, yaylı y (2021). Homothetic Motions and Dual Transformations. , 194 - 205.
Chicago	YÜCA Gülsüm,yaylı yusuf Homothetic Motions and Dual Transformations. (2021): 194 - 205.
MLA	YÜCA Gülsüm,yaylı yusuf Homothetic Motions and Dual Transformations. , 2021, ss.194 - 205.
AMA	YÜCA G,yaylı y Homothetic Motions and Dual Transformations. . 2021; 194 - 205.
Vancouver	YÜCA G,yaylı y Homothetic Motions and Dual Transformations. . 2021; 194 - 205.
IEEE	YÜCA G,yaylı y "Homothetic Motions and Dual Transformations." , ss.194 - 205, 2021.
ISNAD	YÜCA, Gülsüm - yaylı, yusuf. "Homothetic Motions and Dual Transformations". (2021), 194-205.

APA	YÜCA G, yaylı y (2021). Homothetic Motions and Dual Transformations. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 37(1), 194 - 205.
Chicago	YÜCA Gülsüm,yaylı yusuf Homothetic Motions and Dual Transformations. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi 37, no.1 (2021): 194 - 205.
MLA	YÜCA Gülsüm,yaylı yusuf Homothetic Motions and Dual Transformations. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.37, no.1, 2021, ss.194 - 205.
AMA	YÜCA G,yaylı y Homothetic Motions and Dual Transformations. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021; 37(1): 194 - 205.
Vancouver	YÜCA G,yaylı y Homothetic Motions and Dual Transformations. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021; 37(1): 194 - 205.
IEEE	YÜCA G,yaylı y "Homothetic Motions and Dual Transformations." Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 37, ss.194 - 205, 2021.
ISNAD	YÜCA, Gülsüm - yaylı, yusuf. "Homothetic Motions and Dual Transformations". Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi 37/1 (2021), 194-205.