In this study, we investigated 𝐾 −flat and minimally surfaces of revolution in three-dimensional De Sitter space and also we study conformal and non-conformal surfaces that satisfy the equations of the Laplace operatör Δ𝑋 = 0, Δ𝑋 = 𝜆𝑋 ve Δ𝑋 = 𝐴𝑋 by using the position vector of the surface.
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we investigated 𝐾 −flat and minimally surfaces of revolution in three-dimensional De Sitter space and also we study conformal and non-conformal surfaces that satisfy the equations of the Laplace operatör Δ𝑋 = 0, Δ𝑋 = 𝜆𝑋 ve Δ𝑋 = 𝐴𝑋 by using the position vector of the surface.
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Key Findings & Data:In this study, we investigated 𝐾 −flat and minimally surfaces of revolution in three-dimensional De Sitter space and also we study conformal and non-conformal surfaces that satisfy the equations of the Laplace operatör Δ𝑋 = 0, Δ𝑋 = 𝜆𝑋 ve Δ𝑋 = 𝐴𝑋 by using the position vector of the surface.
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Conclusion & Impact:In this study, we investigated 𝐾 −flat and minimally surfaces of revolution in three-dimensional De Sitter space and also we study conformal and non-conformal surfaces that satisfy the equations of the Laplace operatör Δ𝑋 = 0, Δ𝑋 = 𝜆𝑋 ve Δ𝑋 = 𝐴𝑋 by using the position vector of the surface.
In this study, we investigated 𝐾 −flat and minimally surfaces of revolution in three-dimensional De Sitter space and also we study conformal and non-conformal surfaces that satisfy the equations of the Laplace operatör Δ𝑋 = 0, Δ𝑋 = 𝜆𝑋 ve Δ𝑋 = 𝐴𝑋 by using the position vector of the surface.
Özet
Bu çalışmada, üç boyutlu De Sitter uzayında 𝐾 − flat ve minimal dönel yüzeyleri ve yüzeyin pozisyon vektörünü kullanacarak laplace operatörünün Δ𝑋 = 0, Δ𝑋 = 𝜆𝑋 ve Δ𝑋 = 𝐴𝑋 eşitliğini sağlayan konformal ve non konformal yüzeyleri araştırdık.
Yilmaz, A. İ., Karacan, M. K., Tunçer, Y. (2025). Surfaces of Revolution in De Sitter 3-Space. Uşak Üniversitesi Fen ve Doğa Bilimleri Dergisi, Cilt: 9 Sayı: 1, 1–13. https://doi.org/10.47137/usufedbid.1593502
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