Future Developments

The theoretical scenario depicted in this monograph is not a rephrasing of already known facts in an unusual mathematical language.

In fact, the Riemannian theory of Hamiltonian chaos, though still formulated at a somewhat primitive level (in that it does not yet include the role of nontrivial topology of the mechanical manifolds), provides a natural explanation of the origin of the chaotic instability of classical dynamics, substantially in the absence of competing theories.