Üç Boyutlu De Sitter Uzayında Dönel Yüzeyler

Year 2025, Volume: 9 Issue: 1, 1 - 13, 27.06.2025

Ali İhsan Yilmaz , Murat Kemal Karacan , Yılmaz Tunçer

https://doi.org/10.47137/usufedbid.1593502

Abstract

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.

Keywords

De Sitter uzayı , Dönel yüzeyler , Konformal uzaylar

Surfaces of Revolution in De Sitter 3-Space

Abstract

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.

Keywords

De Sitter space , Surface of Revolution , Conformal surfaces

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