pith. sign in

arxiv: 1611.07761 · v1 · pith:EATLHVGUnew · submitted 2016-11-23 · 🧮 math.DG

Riemannian Rigidity of the Parallel Postulate in Total Curvature

Jian Ge , Luis Guijarro , Pedro Sol\'orzano This is my paper
classification 🧮 math.DG
keywords curvatureparallelplanepostulateriemanniantotalconjugateeuclidean
0
0 comments X
read the original abstract

We prove that the Euclidean plane is the only Riemannian plane with total curvature and free of conjugate points that satisfies Playfair's version of the parallel postulate.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.