Monge Hypersurfaces in Euclidean 4-Space with Density
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Gazi Univ
Erişim Hakkı
info:eu-repo/semantics/openAccess
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 E-4 with different densities. In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in E-4 with densities e(alpha x+beta y+yz+mu r)(linear density) and e(alpha x2+beta y2+yz2+mu t2) with the aid of different choices of constants alpha,beta,gamma and mu, where alpha,beta,gamma and mu are not all zero constants.
Açıklama
Anahtar Kelimeler
Manifold with density, weighted mean curvature, weighted gaussian curvature, monge hypersurfaces
Kaynak
Journal of Polytechnic-Politeknik Dergisi
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
23
Sayı
1
