  We consider a homogeneous space X=(X,d,m) of dimension $\nu \geq 1$ and a
local regular Dirichlet form in L^{2}(X,m). We prove that if a Poincar\'{e}
inequality holds on every pseudo-ball B(x,R) of X, with local characteristic
constant c_{0}(x) and c_{1}(r), then a Green's function estimate from above and
below is obtained. A Saint-Venant-like principle is recovered in terms of the
Energy's decay.
