Mathematical model for fractal manifold

Understand

We have built a new kind of manifolds which leads to an alternative new geometrical space.

• The study of the nowhere differentiable functions via a family of mean functions leads to a new characterization of this category of functions.
• A fluctuant manifold has been built with an appearance of a new structure on it at every scale, and we embedded into it an internal structure to transform its fluctuant geometry to a new fixed geometry.
• This approach leads us to what we call fractal manifold.