Maxwell strata in sub-Riemannian problem on the group of motions of a plane

Details Maxwell strata in sub-Riemannian problem on the group of motions of a plane Maxwell strata in sub-Riemannian problem on the group of motions of a plane

2008-07-29

arxiv.org/abs/0807.4731v1

Mathematics

Optimization and Control

Scientific paper

The left-invariant sub-Riemannian problem on the group of motions of a plane
is considered. Sub-Riemannian geodesics are parametrized by Jacobi's functions.
Discrete symmetries of the problem generated by reflections of pendulum are
described. The corresponding Maxwell points are characterized, on this basis an
upper bound on the cut time is obtained.

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