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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2023 / Cilt: 72 Sayı: 3

Constant pseudo-angle lightlike surfaces

Gül TUĞ
Sayfa
737–760
Yayın Tarihi
2023-09-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We give several examples to illustrate the obtained surfaces.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The oriented angles between lightlike vectors cannot be defined properly compared to the timelike vectors in the Minkowski spacetime.
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Temel Bulgular & Veri:Therefore, we use the pseudo-angles between any non-lightlike or lightlike vectors to develop the theory of lightlike surfaces having constant angle with a fixed nonlightlike direction.
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Sonuç & Katkı:We give several examples to illustrate the obtained surfaces.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lightlike surface · pseudo-angle · transversal vector field

Abstract

The oriented angles between lightlike vectors cannot be defined properly compared to the timelike vectors in the Minkowski spacetime. Therefore, we use the pseudo-angles between any non-lightlike or lightlike vectors to develop the theory of lightlike surfaces having constant angle with a fixed nonlightlike direction. We investigate some geometric properties on these surfaces such as being a tangent developable. Besides, we construct the constant angle lightlike ruled surfaces by means of the null helices. We give several examples to illustrate the obtained surfaces.

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Bu Makaleye Atıf Yap

TUĞ, G. (2023). Constant pseudo-angle lightlike surfaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 72 Sayı: 3, 737–760. https://ajindex.com/articles/964135

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Kaynakça (17)

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