Journals / Politeknik Dergisi / 2020 / Cilt: 23 - Sayı: 1
Monge Hypersurfaces in Euclidean 4-Space with Density
- Journal
- Politeknik Dergisi
- Pages
- 207–214
- DOI
- —
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.
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.