Ruh-Vilms Theorems For Minimal Surfaces Without Complex Points and Minimal Lagrangian Surfaces in $\mathbb{C}{P}^2$

Abstract

In this paper we investigate surfaces in $\mathbb{C}{P}^2$ without complex points and characterize the minimal surfaces without complex points and the minimal Lagrangian surfaces by Ruh-Vilms type theorems. We also discuss the liftability of an immersion from a surface to $\mathbb{C}{P}^2$ into $S^5$ in Appendix A.

References in corpus (1)

• The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in CP^2