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

2008/07/29 by Игорь Анатольевич Моисеев, Moiseev, I., Yu. L. Sachkov +1
Engineering · Mathematics · #Elasticity and Wave Propagation #Algebraic and Geometric Analysis #Advanced Numerical Analysis Techniques

paper · pdf · doi:10.48550/arxiv.0807.4731

Abstract

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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