  The adhesion of a stiff film onto a curved substrate often generates elastic
stresses in the film that eventually give rise to its delamination. Here we
predict that delamination of very thin films can be dramatically suppressed
through tiny, smooth deformations of the substrate, dubbed here "wrinklogami",
that barely affect the macroscale topography. This "pro-lamination" effect
reflects a surprising capability of smooth wrinkles to suppress compression in
elastic films even when spherical or other doubly-curved topography is imposed,
in a similar fashion to origami folds that enable construction of curved
structures from an unstretchable paper. We show that the emergence of a
wrinklogami pattern signals a nontrivial isometry of the sheet to its planar,
undeformed state, in the doubly asymptotic limit of small thickness and weak
tensile load exerted by the adhesive substrate. We explain how such an
"asymptotic isometry" concept broadens the standard usage of isometries for
describing the response of elastic sheets to geomertric constraints and
mechanical loads.
