Arithmetic analogues of some basic concepts from Riemannian geometry
Number Theory
2015-03-10 v1
Abstract
Following recent work of the author, partly in collaboration with T. Dupuy and M. Barrett, we describe arithmetic analogues of some key concepts from Riemannian geometry such as: metrics, Chern connections, curvature, etc. Theorems are stated to the effect that the spectrum of the integers has a non-vanishing curvature.
Cite
@article{arxiv.1503.02489,
title = {Arithmetic analogues of some basic concepts from Riemannian geometry},
author = {Alexandru Buium},
journal= {arXiv preprint arXiv:1503.02489},
year = {2015}
}