e^(ax+by) Yoğunluklu E^3_1 Uzayında Sıfır Ağırlıklı Eğriliğe Sahip Null Olmayan Düzlemsel Eğrilerin Oluşturduğu Yüzeyler

Year 2020, Volume: 13 Issue: ÖZEL SAYI I, 45 - 55, 28.02.2020

Mustafa Altın Ahmet Kazan H.bayram Karadağ

https://doi.org/10.18185/erzifbed.601728

Abstract

Bu çalışmada, e^(ax+by) yoğunluklu E^3_1  Lorentz-Minkowski uzayında, ikisi aynı anda sıfır olmayan a ve b sabitlerinin durumlarına göre, ağırlıklı eğrilikleri sıfır olan spacelike ve timelike düzlemsel eğriler yardımıyla oluşturulan dönel yüzeyler ve regle yüzeyler çalışılmıştır.

Keywords

Ağırlıklı eğrilik, yoğunluklu Lorentz-Minkowski uzayı, spacelike eğri, timelike eğri, dönel yüzey, regle yüzey

Supporting Institution

İnönü Üniversitesi BAP Birimi

Project Number

FDK-2018-1349

Thanks

İnönü Üniversitesi BAP Birimine desteklerinden dolayı teşekkür ederiz.

Surfaces Constructed by Non-Null Planar Curves with Vanishing Weighted Curvature in 𝑬𝟏𝟑 with Density 𝒆𝒂𝒙+𝒃𝒚

Abstract

In the present paper, the surfaces of revolution and ruled surfaces which are constructed with the aid of spacelike and timelike planar curves with vanishing weighted curvatures in Lorentz-Minkowski space 𝐸13 with density 𝑒𝑎𝑥+𝑏𝑦 according to the cases of not all zero constants 𝑎 and 𝑏 are studied.

Keywords

Weighted curvature, Lorentz-Minkowski space with density, spacelike curve, timelike curve, surface of revolution, ruled surface.

Project Number

FDK-2018-1349

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