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.
Primary Language | English |
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Subjects | Engineering |
Journal Section | Articles |
Authors | |
Publication Date | November 25, 2019 |
Acceptance Date | October 14, 2019 |
Published in Issue | Year 2019 Volume: 2 Issue: 2 |