7 citations · 21 across the 10 of their papers we have counts for
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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…