Geometric Structures Generated by the Same Dynamics. Recent Results and Challenges
Geometric Structures Generated by the Same Dynamics. Recent Results and Challenges
The main contribution of this review is to show some relevant relationships between three geometric structures on a connected Lie group G, generated by the same dynamics. Namely, Linear Control Systems, Almost Riemannian Structures, and Degenerate Dynamical Systems. These notions are generated by two ordinary differential equations on G: linear …