# Lie bracket of differential operators

From Diffgeom

Revision as of 20:13, 5 April 2008 by Vipul (talk | contribs) (New page: ==Definition== Let <math>M</math> be a differential manifold and <math>D_1,D_2</math> be differential operators from <math>C^\infty(M)</math> to <math>C^\infty(M)</math>. The '''L...)

## Definition

Let be a differential manifold and be differential operators from to . The **Lie bracket** of and denoted is defined as the following differential operator:

## Particular cases

- Lie bracket of derivations (or Lie bracket of vector fields)