Yoğunluklu Minkowski Uzayında Lightlike Dönme Eksenli Dönel Yüzeyler Üzerine Bir Not

Year 2020, Volume: 13 Issue: ÖZEL SAYI I, 40 - 44, 28.02.2020

Önder Gökmen Yıldız , Büşra Özdoğru

https://doi.org/10.18185/erzifbed.599560

Abstract

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.

Keywords

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

Abstract

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.

Keywords

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

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