Geometric rigidity of a class of fractal sets

Abstract

We study geometric rigidity of a class of fractals, which is slightly larger than the collection of self-conformal sets. Namely, using a new method, we shall prove that a set of this class is contained in a smooth submanifold or is totally spread out.

Cited by in corpus (2)

• Differentiability of fractal curves
• Local conical dimensions for measures