Monge Hypersurfaces in Euclidean 4-Space with Density


Altin M., Kazan A., KARADAĞ H. B.

JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI, cilt.23, ss.207-214, 2020 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 23 Konu: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2339/politeknik.634175
  • Dergi Adı: JOURNAL OF POLYTECHNIC-POLITEKNIK DERGISI
  • Sayfa Sayıları: ss.207-214

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.