Hilbert's theorem (differential geometry)
id:
hilbert-s-theorem-differential-geometry-288-3048596
title:
Hilbert's theorem (differential geometry)
text:
In differential geometry, Hilbert's theorem (1901) states that there exists no complete regular surface S of constant negative gaussian curvature K immersed in R 3 . This theorem answers the question for the negative case of which surfaces in R 3 can be obtained by isometrically immersing complete manifolds with constant curvature.
brand slug:
wiki
category slug:
encyclopedia
description:
No complete regular surface of constant negative gaussian curvature immerses in R3
original url:
https://en.wikipedia.org/wiki/Hilbert%27s_theorem_(differential_geometry)
date created:
date modified:
2022-07-16T22:48:56Z
main entity:
{"identifier":"Q2008549","url":"https://www.wikidata.org/entity/Q2008549"}
image:
fields total:
13
integrity:
14