WEIGHTED MINIMAL AND WEIGHTED FLAT SURFACES OF REVOLUTION IN GALILEAN 3-SPACE WITH DENSITY


Kazan A., KARADAĞ H. B.

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, cilt.16, ss.414-426, 2018 (ESCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 16 Konu: 3
  • Basım Tarihi: 2018
  • Doi Numarası: 10.28924/2291-8639-16-2018-414
  • Dergi Adı: INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS
  • Sayfa Sayıları: ss.414-426

Özet

In this paper, we obtain the weighted mean and weighted Gaussian curvatures of surfaces of revolution in Galilean 3-space with density e(a1x2+a2y2+a3z2), a(1), a(3), a(3) is an element of R not all zero. Also, we investigate some cases of weighted minimal surfaces of revolution according to a(i), i = 1, 2, 3 and weighted flat surfaces of revolution.