  A definition of asymptotic flatness at spatial infinity in $d$ dimensions
($d\geq 4$) is given using the conformal completion approach. Then we discuss
asymptotic symmetry and conserved quantities. As in four dimensions, in $d$
dimensions we should impose a condition at spatial infinity that the "magnetic"
part of the $d$-dimensional Weyl tensor vanishes at faster rate than the
"electric" part does, in order to realize the Poincare symmetry as asymptotic
symmetry and construct the conserved angular momentum. However, we found that
an additional condition should be imposed in $d>4$ dimensions.

General Relativity and Quantum Cosmology;High Energy Physics - Theory