Concept information
Preferred term
Liouville equation
Definition(s)
- 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 : Δ₀log f = − Kf², where ∆₀ is the flat Laplace operator. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Liouville%27s_equation)
Broader concept(s)
In other languages
-
French
URI
http://data.loterre.fr/ark:/67375/MDL-CS4ND45J-8
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