A representation formula for non-conformal harmonic surfaces in $R^3$

TL;DR

This paper derives a new representation formula for non-conformal harmonic surfaces in three-dimensional space, expanding understanding of their geometric properties with prescribed transforms.

Contribution

It introduces a novel mathematical formula that characterizes non-conformal harmonic surfaces in R^3 with specific prescribed transforms.

Findings

Derived a representation formula for non-conformal harmonic surfaces.

Provided insights into the geometric structure of these surfaces.

Extended the theoretical framework for harmonic surface analysis.

Abstract

We discuss non-conformal harmonic surfaces in $R^3$ with prescribed ($\pm$)transforms, and we get a representation formula for non-conformal harmonic surfaces in $R^3$.