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

Josef F. Dorfmeister; Shimpei Kobayashi; Hui Ma

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

Differential Geometry 2019-09-10 v1

Authors: Josef F. Dorfmeister , Shimpei Kobayashi , Hui Ma

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.

Keywords

surfaces without complex points minimal surfaces minimal lagrangian surfaces ruh-vilms theorems complex projective plane immersion liftability

Cite

@article{arxiv.1909.03207,
  title  = {Ruh-Vilms Theorems For Minimal Surfaces Without Complex Points and Minimal Lagrangian Surfaces in $\mathbb C P^2$},
  author = {Josef F. Dorfmeister and Shimpei Kobayashi and Hui Ma},
  journal= {arXiv preprint arXiv:1909.03207},
  year   = {2019}
}

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