Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane

Objective & Hypothesis:The main purpose of this study is to investigate surface with a constant slope ruling with respect to osculating plane by using Frenet Frame according to casual characters in Minkowski space.

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Key Findings & Data:In accordance with this purpose, surface with constant slope ruling with respect to osculating plane in Minkowski Space is defined and many features of this surface are investigated.

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Conclusion & Impact:Keywords: Ruled surface; Surface with constant slope; Minkowski space.

🔬Design:Research Article

📍Scope:Comprehensive Sample

⚙️Variables:Domain Parameters

Abstract

The main purpose of this study is to investigate surface with a constant slope ruling with respect to osculating plane by using Frenet Frame according to casual characters in Minkowski space. In accordance with this purpose, surface with constant slope ruling with respect to osculating plane in Minkowski Space is defined and many features of this surface are investigated. In addition, examples of the given characterizations are obtained and the geometrical structures of these examples are be examined and visualized. Keywords: Ruled surface; Surface with constant slope; Minkowski space.

Özet

Bu çalışmanın amacı, Minkowski uzayında Frenet çatısını kullanarak oskülatör düzleme göre dayanak eğrisi sabit eğimli yüzeyleri incelemektir. Bu amaç doğrultusunda, Minkowski uzayında Frenet çatısını kullanarak oskülatör düzleme göre dayanak eğrisi sabit eğimli yüzeylerin tanımları elde edilmiştir ve bu yüzeylerin birçok özelliği ayrı ayrı ele alınmıştır. Elde edilen yüzeylerin örnekleri incelenerek görselleri elde edilmiştir. Anahtar Kelimeler: Regle yüzeyler; Sabit eğimli yüzeyler; Minkowski uzayı.

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Cite This Article

ATEŞ, F., YAVUZ, A., YAYLI, Y. (2022). Non-null Surfaces with Constant Slope Ruling with Respect to Osculating Plane. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 - Sayı: 1, 240–255. https://ajindex.com/articles/428429

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