Harmonic Enneper immersion in ℝ3

Source abstract

In this paper, we present a method for constructing harmonic immersions in [Formula: see text], known as the Enneper-type representation. We also prove that any harmonic immersion in [Formula: see text] can be obtained using this approach. Furthermore, we determine the number of non-planar rotational harmonic immersions in [Formula: see text] that connect two coaxial circles in parallel planes, where both circles have the same radius [Formula: see text] and are separated by a distance [Formula: see text].