nLab wave equation

Context

Differential geometry

differential geometry

synthetic differential geometry

Applications

Equality and Equivalence

For $\left(X,g\right)$ a Riemannian manifold and $\Delta :{C}^{\infty }\left(X\right)\to {C}^{\infty }\left(X\right)$ its Laplace operator, the wave equation on $X$ is the differential equation

$\Delta f=0\phantom{\rule{thinmathspace}{0ex}}.$\Delta f = 0 \,.

Revised on September 18, 2012 00:12:57 by Urs Schreiber (82.169.65.155)