Liouville surface
id:
liouville-surface-214-903053
title:
Liouville surface
text:
In the mathematical field of differential geometry a Liouville surface is a type of surface which in local coordinates may be written as a graph in R
- z = f such that the first fundamental form is of the form
- d s 2 =. Sometimes a metric of this form is called a Liouville metric. Every surface of revolution is a Liouville surface. Darboux gives a general treatment of such surfaces considering a two-dimensional
space with metric
- d s 2 =, where U and U 1 are functions of u and V and V 1
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Liouville_surface
date created:
2008-02-26T13:35:45Z
date modified:
2024-09-12T18:26:32Z
main entity:
{"identifier":"Q284028","url":"https://www.wikidata.org/entity/Q284028"}
image:
fields total:
13
integrity:
14