Planar Riemann surface

A **planar Riemann surface** is a one-dimensional complex manifold that can be viewed as a two-dimensional real surface in \(\mathbb{R}^3\). More specifically, it is a type of Riemann surface that can be embedded in the complex plane \(\mathbb{C}\). ### Key Features: 1. **Complex Structure**: A Riemann surface is equipped with a structure that allows for complex variable analysis.