Affine Factorable Surfaces in Euclidean 4-space

Öz

In this study, the affine factorable surfaces in Euclidean 4-space were defined. We have obtained the Gaussian and mean curvature of the affine factorable surfaces in . Further, the classification of surfaces with flat and minimal affine factorable surfaces was given.

Anahtar Kelimeler

• Factorable surfaces
• Affine factorable surfaces
• Gaussian curvature
• Mean curvature

4-boyutlu Öklid Uzayında Afin Çarpanlara Ayrılabilir Yüzeyler

Öz

Bu çalışmada 4-boyutlu Öklid uzayında afin çarpanlara ayrılabilir yüzeyler tanımlanmıştır. E^4 de afin çarpanlara ayrılabilir yüzeylerin Gauss ve ortalama eğrilikleri elde edilmiştir. Afin çarpanlara ayrılabilir yüzeylerin düz ve minimal olma durumları sınıflandırılmıştır.

Anahtar Kelimeler

• Çarpanlara ayrılabilir yüzey
• Afin çarpanlara ayrılabilir yüzey
• Gauss eğriliği
• Ortalama eğrilik

Kaynakça

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