Some Characterizations of A-Net Minimal Surfaces in the Three-Dimensional Heisenberg Group

Abstract

In this paper, we obtain the mean curvature of an A-net surface in the three-dimensional Heisenberg group H₃. Moreover, we give some characterizations of this surface according to Levi-Civita connections of three dimensional Heisenberg group H₃. Finally, we give an example and draw the minimal A-net surface with the help of Mathematica.