The component form of the equations of motion for the 5-brane in eleve
n dimensions is derived from the superspace equations. These equations
are fully covariant in six dimensions. It is shown that double-dimens
ional reduction of the bosonic equations gives the equations of motion
for a 4-brane in ten dimensions governed by the Born-Infeld action. (
C) 1997 Elsevier Science B.V.