Isometric deformations of isotropic surfaces
Differential Geometry
2015-07-15 v2
Abstract
It was shown by Ramanathan \cite{R} that any compact oriented non-simply-connected minimal surface in the three-dimensional round sphere admits at most a finite set of pairwise noncongruent minimal isometric immersions. Here we show that this result extends to isotropic surfaces in spheres of arbitrary dimension. The case of non-compact isotropic surfaces in space forms is also addressed.
Cite
@article{arxiv.1507.01907,
title = {Isometric deformations of isotropic surfaces},
author = {M. Dajczer and Th. Vlachos},
journal= {arXiv preprint arXiv:1507.01907},
year = {2015}
}