We discuss general properties of the conservation law associated with,
a local symmetry. Using Noether's theorem and a generalized Belinfant
e symmetrization procedure in 3+1 dimensions, a symmetric energy-momen
tum (pseudo) tensor for the gravitational Einstein-Hilbert action is d
erived and discussed in detail. In 2 + 1 dimensions, expressions are o
btained for energy and angular momentum arising in the ISO(2,1) gauge-
theoretical formulation of Einstein gravity. In addition, an expressio
n for energy in a gauge-theoretical formulation of the string-inspired
(1 + 1)-dimensional gravity is derived and compared with the ADM defi
nition of energy.