A dual rigidity of the sphere and the hyperbolic plane
Differential Geometry
2015-05-21 v1
Abstract
There are several well-known characterizations of the sphere as a regular surface in the Euclidean space. By means of a purely synthetic technique, we get a rigidity result for the sphere without any curvature conditions, nor completeness or compactness. As well as a dual result for the hyperbolic plane, the spacelike sphere in the Minkowski space.
Cite
@article{arxiv.1505.05446,
title = {A dual rigidity of the sphere and the hyperbolic plane},
author = {Magdalena Caballero and Rafael M. Rubio},
journal= {arXiv preprint arXiv:1505.05446},
year = {2015}
}