Affiliation:
1. Departamento de Matemáticas, Campus de Rabanales , Universidad de Córdoba , 14071 Córdoba , Spain
Abstract
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, completeness or compactness, as well as a dual result for the hyperbolic plane, the spacelike sphere in the Minkowski space.
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