Title: Rolling a pseudohyperbolic space over the affine tangent space at a point
Authors: André Marques , Fátima Silva Leite
Abstract: This paper describes how a pseudohyperbolic space rolls, without slipping or twisting, over its affine tangent space at a point. These two manifolds have the same dimension and are considered embedded in the same pseudo-Euclidean space. After defining rolling maps, we derive the kinematic equations for these rolling motions and present explicit solutions when the manifolds roll along geodesic curves. The kinematic equations can be seen as a control system evolving on a certain Lie group and we prove that this system is controllable.
Publication date: 2012-07-16
Online entry date: 2013-05-08
Conference: CONTROLO’2012
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