The paper solves the affine-invariant Minkowski problem for convex domains invariant under specific discrete affine subgroups by establishing a local Steiner formula and applying a variational method based on covolume convexity.
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An Affine Invariant Minkowski Problem
The paper solves the affine-invariant Minkowski problem for convex domains invariant under specific discrete affine subgroups by establishing a local Steiner formula and applying a variational method based on covolume convexity.