Weıghted mınımal and weıghted flat surfaces of revolutıon ıngalılean 3-space wıth densıty

Abstract

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.