Monge Hypersurfaces in Euclidean 4-Space with Density

Year 2020, Volume: 23 Issue: 1, 207 - 214, 01.03.2020

Mustafa Altın , Ahmet Kazan , H.bayram Karadağ

https://doi.org/10.2339/politeknik.634175

Cited By: 1

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. 

Keywords

Manifold with density, weighted mean curvature, weighted gaussian curvature, monge hypersurfaces

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