: Astronomie: Liouville equation

mathematical technique > mathematical analysis > differential equation > partial differential equation > Liouville equation

Liouville equation

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)

http://data.loterre.fr/ark:/67375/MDL-CS4ND45J-8

RDF/XML TURTLE JSON-LD

Loterre