Ruh-Vilms theorems for minimal surfaces without complex points and minimal Lagrangian surfaces in \(\mathbb{C}P^2\) (Q2205623)

This nice paper studies the surfaces in \({\mathbb C}{P}^2\) (the \(2\)-dimensional complex projective space endowed with the Fubini-Study metric of constant holomorphic sectional curvature \(4\)) without complex points, shows an Ruh-Vilms type theorem, and describes the distinctive features of both the minimal Lagrangian surfaces and the minimal surfaces without complex points via the primitive harmonicity of the induced Gauss maps.