Monge Hypersurfaces in Euclidean 4-Space with Density

Öz

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. 

Anahtar Kelimeler

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

Kaynakça

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