Liouville's equation
id:
liouville-s-equation-257-7985739
title:
Liouville's equation
text:
In differential geometry, Liouville's equation, named after Joseph Liouville, is the nonlinear partial differential equation satisfied by the conformal factor f of a metric f2(dx2 + dy2) on a surface of constant Gaussian curvature K: where ∆0 is the flat Laplace operator Liouville's equation appears in the study of isothermal coordinates in differential geometry: the independent variables x,y are the coordinates, while f can be described as the conformal factor with respect to the flat metric. O
brand slug:
wiki
category slug:
encyclopedia
description:
Equation in differential geometry
original url:
https://en.wikipedia.org/wiki/Liouville%27s_equation
date created:
date modified:
2024-04-25T01:10:46Z
main entity:
{"identifier":"Q2184037","url":"https://www.wikidata.org/entity/Q2184037"}
image:
fields total:
13
integrity:
14