Realization of HCMU metrics in 3-dimensional space forms as Weingarten surfaces
Differential Geometry
2022-08-30 v1
Abstract
In \cite{WeiWu22-3} (J.Geom.Anal.32, 199(2022)), we classified HCMU surfaces in 3-dimensional Euclidean space as Weingarten surfaces by holomorphic functions. In this paper, using a totally different method from \cite{WeiWu22-3}, we will classify HCMU surfaces in 3-dimensional space forms as Weingarten surfaces. Moreover we will give a criteria of a Weingarten surface which is also an HCMU surface.
Cite
@article{arxiv.2208.13359,
title = {Realization of HCMU metrics in 3-dimensional space forms as Weingarten surfaces},
author = {Zhiqiang Wei and Yingyi Wu},
journal= {arXiv preprint arXiv:2208.13359},
year = {2022}
}
Comments
12pages