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arXiv · 1909.05119

Complete Willmore Legendrian surfaces in $\mathbb{S}^5$ are minimal Legendrian surfaces

Yong Luo·Linlin Sun
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Abstract

In this paper we continue to consider Willmore Legendrian surfaces and csL Willmroe surfaces in $\mathbb{S}^5$, notions introduced by Luo in \cite{Luo}. We will prove that every complete Willmore Legendrian surface in $\mathbb{S}^5$ is minimal and construct nontrivial examples of csL Willmore surfaces in $\mathbb{S}^5$.

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BibTeXRIS

Yong Luo, Linlin Sun. 2019-09-10. Complete Willmore Legendrian surfaces in $\mathbb{S}^5$ are minimal Legendrian surfaces. https://arxiv.org/abs/1909.05119

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