On Minimal Surfaces in Galilean Space

Year 2019, Volume: 2 Issue: 2, 142 - 147, 25.11.2019

Mustafa Dede , Cumali Ekici

Abstract

In this paper, we investigated the minimal surfaces in three dimensional Galilean space $\mathbb{G}^{3}$. We showed that the condition of minimality of a surface area is locally equivalent to the mean curvature vector $H$ vanishes identically. Then, we derived the necessary and sufficient conditions that the minimal surfaces have to satisfy in Galilean space.

Keywords

Minimal surfaces, area of a surface, Galilean space

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