Monge Hypersurfaces in Euclidean 4-Space with Density

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Politeknik Dergisi
Volume:23 Issue:1
Monge Hypersurfaces in Euclidean 4-Space with Density

Monge Hypersurfaces in Euclidean 4-Space with Density

Authors : Mustafa Altın, Ahmet KAZAN, Hbayram KARADAĞ

Pages : 207-214

Doi:10.2339/politeknik.634175

View : 38 | Download : 16

Publication Date : 2020-03-01

Article Type : Research Paper

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 insert ignore into journalissuearticles values(linear density); and with the aid of different choices of constants and , where and are not all zero constants.
Keywords : Manifold with density, weighted mean curvature, weighted gaussian curvature, monge hypersurfaces

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