Pedro Solórzano

collaborators

2 papers

math.DG2016

Riemannian Rigidity of the Parallel Postulate in Total Curvature

Jian Ge, Luis Guijarro, Pedro Solórzano

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.

math.DG2010

Holonomic Spaces

Pedro Solórzano

A holonomic space $(V, H, L)$ is a normed vector space, $V$ , a subgroup, $H$ , of $A u t (V, ∥ \cdot ∥)$ and a group-norm, $L$ , with a convexity property. We prove that with the metric $…