Geometry of $[\phi ,{\vec{e}}_3]$-minimal surfaces in ${\mathbb{R}}^3$

Abstract

In this survey we report a general and systematic approach to study $[\phi ,{\vec{e}}_3]$-minimal surfaces in ${\mathbb{R}}^3$ from a geometric viewpoint and show some fundamental results obtained in the recent development of this theory.

27 pages, 17 figures