7 citations · 21 across the 10 of their papers we have counts for
Showing 2006Show all
3 papers · 1 filter
math.OC2006
Rolling balls and Octonions
Andrei Agrachev
In this semi-expository paper we disclose hidden symmetries of a classical nonholonomic kinematic model and try to explain geometric meaning of basic invariants of vector distribut…
math.OC2006
A Gauss-Bonnet-like Formula on Two-Dimensional Almost-Riemannian Manifolds
Andrei A. Agrachev, Ugo Boscain, Mario Sigalotti
We consider a generalization of Riemannian geometry that naturally arises in the framework of control theory. Let and be two smooth vector fields on a two-dimensional manif…
math.DG2006★ 7 cited
Nurowski's conformal structures for (2,5)-distributions via dynamics of abnormal extremals
Andrei Agrachev, Igor Zelenko
As was shown recently by P. Nurowski, to any rank 2 maximally nonholonomic vector distribution on a 5-dimensional manifold M one can assign the canonical conformal structure of sig…