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arXiv · 1909.03207

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
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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.

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Josef F. Dorfmeister, Shimpei Kobayashi, Hui Ma. 2019-09-07. Ruh-Vilms Theorems For Minimal Surfaces Without Complex Points and Minimal Lagrangian Surfaces in $\mathbb C P^2$. https://arxiv.org/abs/1909.03207

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