  In this paper, we show that the physical information given by conserved
charges for asymptotically AdS spacetimes in Einstein-Gauss-Bonnet AdS gravity
is encoded in the electric part of the Weyl tensor. This result generalizes the
conformal mass definition by Ashtekar-Magnon-Das (AMD) to a gravity theory with
a Gauss-Bonnet term. This proof makes use of the Noether charges obtained from
an action renormalized by the addition of counterterms which depend on the
extrinsic curvature (Kounterterms). If the asymptotic fall-off behaviour of the
Weyl tensor is same as the one considered in the AMD method, then the
Kounterterm charges and the AMD charges agree in any dimension.
