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Dergiler / Politeknik Dergisi / 2026 / Cilt: 23 Sayı: 1

Monge Hypersurfaces in Euclidean 4-Space with Density

Mustafa Altın(BİNGÖL TECHNICAL SCIENCES VOCATIONAL SCHOOL)0000-0001-5544-5910
Ahmet Kazan(MALATYA TURGUT ÖZAL ÜNİVERSİTESİ)0000-0002-1959-6102
H.bayram Karadağ(İNÖNÜ ÜNİVERSİTESİ)0000-0001-6474-877X
Sayfa
207–214
Yayın Tarihi
2020-03-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in with densities (linear density) and with the aid of different choices of constants and , where and are not all zero constants.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space.
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Temel Bulgular & Veri:After this, we study on Monge hypersurfaces in with different densities.
💡
Sonuç & Katkı:In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in with densities (linear density) and with the aid of different choices of constants and , where and are not all zero constants.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Manifold with density · weighted mean curvature · weighted gaussian curvature

Özet

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 minimal and weighted flat Monge hypersurfaces in with densities (linear density) and with the aid of different choices of constants and , where and are not all zero constants.

Abstract

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 minimal and weighted flat Monge hypersurfaces in with densities (linear density) and with the aid of different choices of constants and , where and are not all zero constants.

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Bu Makaleye Atıf Yap

Altın, M., Kazan, A., Karadağ, H. (2020). Monge Hypersurfaces in Euclidean 4-Space with Density. Politeknik Dergisi, Cilt: 23 Sayı: 1, 207–214. https://doi.org/10.2339/politeknik.634175

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Kaynakça (25)

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