# nLab wave equation

### Context

#### Differential geometry

differential geometry

synthetic differential geometry

# Contents

## Idea

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

$\Delta f = 0 \,.$

where $\Delta$ is the wave operator /Laplace operator.

Revised on August 27, 2014 06:53:11 by Urs Schreiber (188.200.54.65)