  The asymptotic symmetry group of general relativity in asymptotically flat
spacetimes can be extended from the Bondi-Metzner-Sachs (BMS) group to the
generalized BMS (GMBS) group suggested by Campiglia and Laddha, which includes
arbitrary diffeomorphisms of the celestial two-sphere. It can be further
extended to the Weyl BMS (BMSW) group suggested by Freidel, Oliveri, Pranzetti
and Speziale, which includes general conformal transformations. We compute the
action of fully nonlinear BMSW transformations on the leading order Bondi-gauge
metric functions: specifically, the induced metric, Bondi mass aspect, angular
momentum aspect, and shear. These results generalize previous linearized
results in the BMSW context by Freidel et al., and also nonlinear results in
the BMS context by Chen, Wang, Wang and Yau. The transformation laws will be
useful for exploring implications of the BMSW group.
