Ahmet KAZAN, H. Bayram KARADAĞ, Mustafa ALTIN

Yoğunluklu Öklidyen 4-Uzayında Monge Hiperyüzeyleri

Bu çalışmada, ilk olarak 4-boyutlu Öklidyen uzayında bir Monge hiperyüzeyinin ortalama ve Gaussian eğriliklerini verdik. Ardından, farklı yoğunluklara sahip uzayında Monge hiperyüzeylerini çalıştık. Bu bağlamda, ve hepsi aynı anda sıfır olmayan sabitler olmak üzere, (lineer yoğunluk) ve yoğunluklu uzayında ağırlıklı minimal ve ağırlıklı flat Monge hiperyüzeylerini ve sabitlerinin farklı seçimleri yardımıyla elde ettik.

Monge hypersurfaces in euclidean 4-space with density

In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space.After this, we study on Monge hypersurfaces in with different densities. In this context, we obtain the weighted minimaland weighted flat Monge hypersurfaces in with densities (linear density) and withthe aid of different choices of constants and , where and are not all zero constants.

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