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

Öz

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.

Anahtar Kelimeler

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

Proje Numarası

FDK-2018-1349

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

Öz

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.

Anahtar Kelimeler

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

Destekleyen Kurum

İnönü Üniversitesi BAP Birimi

Proje Numarası

FDK-2018-1349

Teşekkür

İnönü Üniversitesi BAP Birimine desteklerinden dolayı teşekkür ederiz.

Kaynakça

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