# nLab wave equation

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

## Applications

#### Equality and Equivalence

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

$\Delta f = 0 \,.$

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