Beltrami's theorem
id:
beltrami-s-theorem-308-8363996
title:
Beltrami's theorem
text:
In the mathematical field of differential geometry, any (pseudo-)Riemannian metric determines a certain class of paths known as geodesics. Beltrami's theorem, named for Italian mathematician Eugenio Beltrami, is a result on the inverse problem of determining a (pseudo-)Riemannian metric from its geodesics. It is nontrivial to see that, on any Riemannian manifold of constant curvature, there are smooth coordinates relative to which all nonconstant geodesics appear as straight lines. In the negati
brand slug:
wiki
category slug:
encyclopedia
description:
Geodesic maps preserve the property of having constant curvature
original url:
https://en.wikipedia.org/wiki/Beltrami%27s_theorem
date created:
date modified:
2024-01-29T17:43:54Z
main entity:
{"identifier":"Q4884789","url":"https://www.wikidata.org/entity/Q4884789"}
image:
fields total:
13
integrity:
14