Pedro Solórzano

activity

20092021

collaborators

6 papers

math.LO2021

On logical parameterizations and functional representability in local set theories

Enrique Ruiz Hernández, Pedro Solórzano

There is a well-known inclusion $ι_{E}$ of a topos $E$ in the linguistic topos $T (Σ)$ of its internal language $Σ$ that proves both toposes to be equiva…

math.DG2020

Twistor sections of Dirac bundles

Sergio A. H. Cardona, Pedro Solórzano, Iván Téllez

A Dirac bundle is a euclidean bundle over a riemannian manifold $M$ which is a compatible left $C ℓ (M)$ -module, together with a metric connection also compatible with the Cliffor…

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.DG2015

Waning in principal bundles

Pedro Solórzano

Let $P \to M$ be a principal bundle. Consider a sequence of metrics on $P$ obtained by re-scaling the fibers to points. The Gromov-Hausdorff limit of the tangent bundles over these…

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 $…

math.DG2009

Submanifolds and the Sasaki Metric

Pedro Solórzano

This is the content of a talk given by the author at the 2009 Lehigh University Geometry/Topology Conference. Using the definition of connection given by Dieudonné, the Sasaki metr…