Complete Willmore Legendrian surfaces in $\mathbb{S}^5$ are minimal Legendrian surfaces
Differential Geometry
2020-01-07 v2
Abstract
In this paper we continue to consider Willmore Legendrian surfaces and csL Willmroe surfaces in , notions introduced by Luo in \cite{Luo}. We will prove that every complete Willmore Legendrian surface in is minimal and construct nontrivial examples of csL Willmore surfaces in .
Cite
@article{arxiv.1909.05119,
title = {Complete Willmore Legendrian surfaces in $\mathbb{S}^5$ are minimal Legendrian surfaces},
author = {Yong Luo and Linlin Sun},
journal= {arXiv preprint arXiv:1909.05119},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1705.11115, arXiv:1811.02839