Yoğunluklu Minkowski Uzayında Lightlike Dönme Eksenli Dönel Yüzeyler Üzerine Bir Not

Öz

Bu çalışmada, yoğunluk Minkowski uzayında lightlike dönme eksenli dönel yüzeyleri çalıştık. Üzerinde çalıştığımız dönel yüzeylerin üreteç eğrisinin, yüzeyin Gauss eğriliği yardımıyla elde ettiğimiz ikinci dereceden lineer olmayan diferansiyel denklemin bir çözümü olduğunu gördük. Bu diferansiyel denklemin çözerek dönel yüzeyin denklemini elde ettik. Son olarakta el ettiğimiz dönel yüzeylerin grafiklerini çizdik.

Anahtar Kelimeler

• Minkowski uzayı,yoğunluklu manifold,ağırlıklı eğrilik,dönel yüzeyler

A Note On Surfaces Of Revolution Which Have Lightlike Axes Of Revolution In Minkowski Space With Density

Öz

In this paper, we study surfaces of revolution which have lightlike axes of revolution in Minkowski space with density. The generating curve of these surfaces satisfies a non-linear second order differential equation which describes the prescribed weighted Gaussian curvature. By solving differential equation we get surfaces of revolution. Also, we draw a graph of the surface of revolution. Also, we draw a graph of the surface of revolution.

Anahtar Kelimeler

• Minkowski space,manifold with density,weighted curvature,surfaces of revolution

Kaynakça

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